Cremona's table of elliptic curves

4565 = 5 · 11 · 83

Field	Data	Notes
Atkin-Lehner	5- 11+ 83+	Signs for the Atkin-Lehner involutions
Class	4565a	Isogeny class
Conductor	4565	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	14880	Modular degree for the optimal curve
Δ	-131071577395825 = -1 · 52 · 113 · 835	Discriminant
Eigenvalues	1  0 5- -5 11+ -3 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,9406,-426767]	[a1,a2,a3,a4,a6]
j	92026448780575239/131071577395825	j-invariant
L	0.62117617773545	L(r)(E,1)/r!
Ω	0.31058808886773	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	73040v1 41085b1 22825d1 50215b1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4565a1

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	0	-	-5	+	-3	-4	-4	4	-4	2	-7	12	4	8	8	-6	-10	-1	-7	-1	-2	+	0	-10

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Quadratic twists for elliptic curve 4565a1

-4	-3	5	-11
73040v1	41085b1	22825d1	50215b1

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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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