Cremona's table of elliptic curves

2580 = 2² · 3 · 5 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 43-	Signs for the Atkin-Lehner involutions
Class	2580b	Isogeny class
Conductor	2580	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	-45139680000 = -1 · 28 · 38 · 54 · 43	Discriminant
Eigenvalues	2- 3- 5- -2  1 -5 -3 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4645,120743]	[a1,a2,a3,a4,a6]
Generators	[41:30:1]	Generators of the group modulo torsion
j	-43304636317696/176326875	j-invariant
L	3.7569593899826	L(r)(E,1)/r!
Ω	1.1423184780667	Real period
R	0.034259266918176	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	10320u1 41280e1 7740b1 12900c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2580b1

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	1	-5	-3	-6	5	0	-7	-8	5	-	-8	-9	-4	8	11	-14	-4	16	1	6	-17

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Quadratic twists for elliptic curve 2580b1

-4	8	-3	5	-7	-43
10320u1	41280e1	7740b1	12900c1	126420g1	110940b1

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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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