Cremona's table of elliptic curves

2645 = 5 · 23²

Field	Data	Notes
Atkin-Lehner	5+ 23-	Signs for the Atkin-Lehner involutions
Class	2645a	Isogeny class
Conductor	2645	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	9936	Modular degree for the optimal curve
Δ	-225144082682875 = -1 · 53 · 239	Discriminant
Eigenvalues	0 -2 5+  3  6  4 -3 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-8111,772041]	[a1,a2,a3,a4,a6]
j	-32768/125	j-invariant
L	0.97699576072195	L(r)(E,1)/r!
Ω	0.48849788036097	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	42320o1 23805s1 13225b1 129605x1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2645a1

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	-2	+	3	6	4	-3	-6	-	3	-5	-3	9	12	-6	-3	-9	-6	-9	9	-2	6	-9	6	6

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Quadratic twists for elliptic curve 2645a1

-4	-3	5	-7	-23
42320o1	23805s1	13225b1	129605x1	2645b1

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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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