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	2600a	Isogeny class
Conductor	2600	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-67600000000 = -1 · 210 · 58 · 132	Discriminant
Eigenvalues	2+ -2 5+  0  2 13+ -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-8,-12512]	[a1,a2,a3,a4,a6]
Generators	[28:100:1]	Generators of the group modulo torsion
j	-4/4225	j-invariant
L	2.3307822970095	L(r)(E,1)/r!
Ω	0.50327362028102	Real period
R	1.157810683435	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	5200b2 20800ba2 23400bg2 520b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2600a2

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

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Quadratic twists for elliptic curve 2600a2

-4	8	-3	5	-7	13
5200b2	20800ba2	23400bg2	520b2	127400l2	33800u2

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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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