Cremona's table of elliptic curves

7381 = 11² · 61

Field	Data	Notes
Atkin-Lehner	11- 61-	Signs for the Atkin-Lehner involutions
Class	7381b	Isogeny class
Conductor	7381	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	48655393168261 = 118 · 613	Discriminant
Eigenvalues	0  1  3  2 11- -1  0 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-16859,-778475]	[a1,a2,a3,a4,a6]
Generators	[-1995:7093:27]	Generators of the group modulo torsion
j	2472312832/226981	j-invariant
L	4.9819884245301	L(r)(E,1)/r!
Ω	0.42143867404249	Real period
R	3.9404613540742	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	118096bg2 66429d2 7381a2	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 7381b2

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	2	-	-1	0	-7	-6	6	2	2	-3	-10	3	6	6	-	-10	-6	-7	-4	-15	-6	2

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Quadratic twists for elliptic curve 7381b2

-4	-3	-11
118096bg2	66429d2	7381a2

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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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