Cremona's table of elliptic curves

121 = 11²

Field	Data	Notes
Atkin-Lehner	11-	Signs for the Atkin-Lehner involutions
Class	121a	Isogeny class
Conductor	121	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	6	Modular degree for the optimal curve
Δ	-121 = -1 · 112	Discriminant
Eigenvalues	-1  2  1  2 11- -1  5 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-30,-76]	[a1,a2,a3,a4,a6]
j	-24729001	j-invariant
L	1.0197948617829	L(r)(E,1)/r!
Ω	1.0197948617829	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	1936l1 7744l1 1089f1 3025c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 121a1

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
-1	2	1	2	-	-1	5	-6	2	-9	-2	-3	5	0	2	9	8	-6	2	12	2	10	-6	-9	-13

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Quadratic twists for elliptic curve 121a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1936l1	7744l1	1089f1	3025c1	5929f1	121c2	20449d1	34969g1	43681k1	64009c1	101761b1	116281c1

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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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