Cremona's table of elliptic curves

2600 = 2³ · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 5+ 13-	Signs for the Atkin-Lehner involutions
Class	2600j	Isogeny class
Conductor	2600	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-4569760000000 = -1 · 211 · 57 · 134	Discriminant
Eigenvalues	2-  0 5+  0 -4 13-  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,3925,-40250]	[a1,a2,a3,a4,a6]
Generators	[270:4550:1]	Generators of the group modulo torsion
j	208974222/142805	j-invariant
L	3.113756279085	L(r)(E,1)/r!
Ω	0.43833831721237	Real period
R	1.7758864311059	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	5200e4 20800a4 23400o3 520a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2600j4

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	+	0	-4	-	6	4	0	-2	-4	6	-6	-8	0	-2	4	-10	-12	-4	-14	-16	-12	2	2

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Quadratic twists for elliptic curve 2600j4

-4	8	-3	5	-7	13
5200e4	20800a4	23400o3	520a4	127400bh3	33800a3

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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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