Cremona's table of elliptic curves

121 = 11²

Field	Data	Notes
Atkin-Lehner	11+	Signs for the Atkin-Lehner involutions
Class	121b	Isogeny class
Conductor	121	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-2357947691 = -1 · 119	Discriminant
Eigenvalues	0 -1 -3  0 11+  0  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-887,-10143]	[a1,a2,a3,a4,a6]
Generators	[81:665:1]	Generators of the group modulo torsion
j	-32768	j-invariant
L	0.8623722966904	L(r)(E,1)/r!
Ω	0.43658375654545	Real period
R	0.98763671776759	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	1936f2 7744a2 1089e2 3025a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 121b2

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
0	-1	-3	0	+	0	0	0	-9	0	-5	7	0	0	-12	6	-15	0	13	-3	0	0	0	-9	17

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Quadratic twists for elliptic curve 121b2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1936f2	7744a2	1089e2	3025a2	5929a2	121b1	20449a2	34969a2	43681c2	64009a2	101761a2	116281a2

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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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