Cremona's table of elliptic curves

7396 = 2² · 43²

Field	Data	Notes
Atkin-Lehner	2- 43-	Signs for the Atkin-Lehner involutions
Class	7396a	Isogeny class
Conductor	7396	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	22176	Modular degree for the optimal curve
Δ	-69585564443392 = -1 · 28 · 437	Discriminant
Eigenvalues	2-  2  0  4 -3 -1 -3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-24653,-1534807]	[a1,a2,a3,a4,a6]
Generators	[1118680112:30430363365:1442897]	Generators of the group modulo torsion
j	-1024000/43	j-invariant
L	6.1643306160741	L(r)(E,1)/r!
Ω	0.19003535401125	Real period
R	16.218904761556	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	29584m1 118336p1 66564e1 172a1	Quadratic twists by: -4 8 -3 -43

Hecke Eigenvalues for elliptic curve 7396a1

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	0	4	-3	-1	-3	-2	-3	-6	5	-8	-3	-	-12	-9	-12	10	11	-6	10	8	-15	0	-1

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Quadratic twists for elliptic curve 7396a1

-4	8	-3	-43
29584m1	118336p1	66564e1	172a1

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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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