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	-285311670611 = -1 · 1111	Discriminant
Eigenvalues	2 -1  1  2 11- -4  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-1250,31239]	[a1,a2,a3,a4,a6]
j	-122023936/161051	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	1936g2 7744f2 1089j2 3025g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 121d2

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 121d2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1936g2	7744f2	1089j2	3025g2	5929h2	11a1	20449g2	34969h2	43681m2	64009d2	101761i2	116281d2

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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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