Cremona's table of elliptic curves

11 = Prime conductor

Field	Data	Notes
Atkin-Lehner	11-	Signs for the Atkin-Lehner involutions
Class	11a	Isogeny class
Conductor	11	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	1	Modular degree for the optimal curve
Δ	-161051 = -1 · 115	Discriminant
Eigenvalues	-2 -1  1 -2 11-  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-10,-20]	[a1,a2,a3,a4,a6]
j	-122023936/161051	j-invariant
L	0.25384186085591	L(r)(E,1)/r!
Ω	1.2692093042796	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	176b2 704a2 99d2 275b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11a1

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 11a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59	61	-67	-71	73	-79	-83	89	97	101	-103	-107
176b2	704a2	99d2	275b2	539d2	121d2	1859a2	3179c2	3971b2	5819a2	9251a2	10571a2	15059e2	18491a2	20339f2	24299c2	30899c2	38291c2	40931a2	49379b2	55451b2	58619b2	68651e2	75779e2	87131c2	103499a2	112211c2	116699a2	125939a2

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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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