Cremona's table of elliptic curves

2520 = 2³ · 3² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7-	Signs for the Atkin-Lehner involutions
Class	2520d	Isogeny class
Conductor	2520	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	67512690000 = 24 · 39 · 54 · 73	Discriminant
Eigenvalues	2+ 3+ 5- 7- -2 -2  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2862,-57591]	[a1,a2,a3,a4,a6]
Generators	[-32:35:1]	Generators of the group modulo torsion
j	8232302592/214375	j-invariant
L	3.4030896210516	L(r)(E,1)/r!
Ω	0.65376577052505	Real period
R	0.43378043718401	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5040e1 20160k1 2520m1 12600bi1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2520d1

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	-2	2	-8	-2	-8	-8	-6	6	4	4	0	-4	-2	-4	6	-6	0	-16	6	-14

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Quadratic twists for elliptic curve 2520d1

-4	8	-3	5	-7
5040e1	20160k1	2520m1	12600bi1	17640c1

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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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