Cremona's table of elliptic curves

121 = 11²

Field	Data	Notes
Atkin-Lehner	11-	Signs for the Atkin-Lehner involutions
Class	121d	Isogeny class
Conductor	121	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-19487171 = -1 · 117	Discriminant
Eigenvalues	2 -1  1  2 11- -4  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-946260,354609639]	[a1,a2,a3,a4,a6]
j	-52893159101157376/11	j-invariant
L	1.759399038662	L(r)(E,1)/r!
Ω	0.87969951933102	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1936g3 7744f3 1089j3 3025g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 121d3

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 121d3

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1936g3	7744f3	1089j3	3025g3	5929h3	11a2	20449g3	34969h3	43681m3	64009d3	101761i3	116281d3

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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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