Cremona's table of elliptic curves

112211 = 11 · 101²

Field	Data	Notes
Atkin-Lehner	11+ 101+	Signs for the Atkin-Lehner involutions
Class	112211c	Isogeny class
Conductor	112211	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-11676721656611 = -1 · 11 · 1016	Discriminant
Eigenvalues	2  1  1  2 11+  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-79775220,-274278799337]	[a1,a2,a3,a4,a6]
Generators	[4143934329820700845143360888873247144303712252841490710823762228896055288381913002491513079266026001329268788224974947846467670832757855401181473832016540812911844071798829419629432171877952125347156972232292357407546227867531231205059168588944667990:-287035395586252605506116317246477649143934838687226702433291933722263073496560064106606506751249267380033829134202426193885700903844071519173297641635172165540220360574481745396355219504253010539949938515932884542622692902680804369023434128260012145693:325146213304561349508531316155277212329080112486123284152901621716127797933810156918339689444695872196066178303742196689979144083784965069414237977926080551193017282595621282974008309481310926113960510919196029857972125776410247684870768874251000]	Generators of the group modulo torsion
j	-52893159101157376/11	j-invariant
L	19.299924457097	L(r)(E,1)/r!
Ω	0.025258209198374	Real period
R	382.05251024564	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11a2	Quadratic twists by: 101

Hecke Eigenvalues for elliptic curve 112211c3

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
2	1	1	2	+	4	-2	0	-1	0	7	3	8	-6	8	6	-5	-12	7	-3	-4	-10	6	-15	-7

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Quadratic twists for elliptic curve 112211c3

101
11a2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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