Cremona's table of elliptic curves

5476 = 2² · 37²

Field	Data	Notes
Atkin-Lehner	2- 37+	Signs for the Atkin-Lehner involutions
Class	5476a	Isogeny class
Conductor	5476	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	16416	Modular degree for the optimal curve
Δ	24302560546048 = 28 · 377	Discriminant
Eigenvalues	2- -1  4 -3  5  0  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-7301,-35087]	[a1,a2,a3,a4,a6]
j	65536/37	j-invariant
L	2.2259584462245	L(r)(E,1)/r!
Ω	0.55648961155612	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	21904g1 87616i1 49284l1 148a1	Quadratic twists by: -4 8 -3 37

Hecke Eigenvalues for elliptic curve 5476a1

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	4	-3	5	0	6	-2	6	6	-4	+	-9	-4	-7	9	4	8	-12	3	-5	-6	-1	-2	0

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Quadratic twists for elliptic curve 5476a1

-4	8	-3	37
21904g1	87616i1	49284l1	148a1

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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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