Cremona's table of elliptic curves

2460 = 2² · 3 · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 41+	Signs for the Atkin-Lehner involutions
Class	2460d	Isogeny class
Conductor	2460	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	36480	Modular degree for the optimal curve
Δ	-4804687500000000 = -1 · 28 · 3 · 516 · 41	Discriminant
Eigenvalues	2- 3- 5-  4  3 -4  3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1870805,-985526697]	[a1,a2,a3,a4,a6]
j	-2828587024520876916736/18768310546875	j-invariant
L	3.0981573686688	L(r)(E,1)/r!
Ω	0.064544945180599	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	9840v1 39360e1 7380f1 12300e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2460d1

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
-	-	-	4	3	-4	3	2	-4	5	1	5	+	-7	-3	2	-4	1	2	-9	-3	10	-14	-14	2

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Quadratic twists for elliptic curve 2460d1

-4	8	-3	5	-7	41
9840v1	39360e1	7380f1	12300e1	120540h1	100860g1

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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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