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	2520g	Isogeny class
Conductor	2520	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	330674400000000 = 211 · 310 · 58 · 7	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-219603,39600398]	[a1,a2,a3,a4,a6]
Generators	[3074:27657:8]	Generators of the group modulo torsion
j	784478485879202/221484375	j-invariant
L	3.0679613322286	L(r)(E,1)/r!
Ω	0.52931948938585	Real period
R	5.7960483106115	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	5040i5 20160cn5 840g5 12600bw5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2520g5

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	-2	6	4	-8	2	0	-2	-10	4	0	-14	-12	-2	-4	0	2	-8	4	6	-6

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Quadratic twists for elliptic curve 2520g5

-4	8	-3	5	-7
5040i5	20160cn5	840g5	12600bw5	17640bg5

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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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