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	2520h	Isogeny class
Conductor	2520	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	166659897600 = 28 · 312 · 52 · 72	Discriminant
Eigenvalues	2+ 3- 5- 7+  4 -6  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1767,-20774]	[a1,a2,a3,a4,a6]
Generators	[-33:40:1]	Generators of the group modulo torsion
j	3269383504/893025	j-invariant
L	3.3292780054056	L(r)(E,1)/r!
Ω	0.75146716041017	Real period
R	2.2151852940509	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	5040s2 20160bh2 840h2 12600cd2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2520h2

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	-6	2	-8	-4	-6	4	-2	2	-12	0	-2	4	6	-4	-8	6	-16	4	18	6

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Quadratic twists for elliptic curve 2520h2

-4	8	-3	5	-7
5040s2	20160bh2	840h2	12600cd2	17640t2

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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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