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	2520o	Isogeny class
Conductor	2520	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	2057529600 = 28 · 38 · 52 · 72	Discriminant
Eigenvalues	2- 3- 5+ 7+  0  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1263,17138]	[a1,a2,a3,a4,a6]
Generators	[1:126:1]	Generators of the group modulo torsion
j	1193895376/11025	j-invariant
L	3.0094354666182	L(r)(E,1)/r!
Ω	1.4775136459085	Real period
R	0.50920603592256	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	5040k2 20160bx2 840c2 12600r2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2520o2

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	-2	0	0	-6	4	-2	-10	4	0	-2	-4	6	-12	-12	-2	0	-4	-10	-2

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Quadratic twists for elliptic curve 2520o2

-4	8	-3	5	-7
5040k2	20160bx2	840c2	12600r2	17640cp2

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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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