Cremona's table of elliptic curves

121 = 11²

Field	Data	Notes
Atkin-Lehner	11-	Signs for the Atkin-Lehner involutions
Class	121c	Isogeny class
Conductor	121	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-214358881 = -1 · 118	Discriminant
Eigenvalues	1  2  1 -2 11-  1 -5  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-3632,82757]	[a1,a2,a3,a4,a6]
j	-24729001	j-invariant
L	1.6661569203942	L(r)(E,1)/r!
Ω	1.6661569203942	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	1936k2 7744m2 1089h2 3025e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 121c2

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 121c2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1936k2	7744m2	1089h2	3025e2	5929d2	121a1	20449f2	34969f2	43681l2	64009b2	101761c2	116281b2

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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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