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	2600i	Isogeny class
Conductor	2600	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-9505100800 = -1 · 210 · 52 · 135	Discriminant
Eigenvalues	2- -2 5+  3  1 13+  5 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,272,-4272]	[a1,a2,a3,a4,a6]
j	86614940/371293	j-invariant
L	1.3091347909197	L(r)(E,1)/r!
Ω	0.65456739545984	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5200d1 20800bb1 23400j1 2600g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2600i1

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	+	3	1	+	5	-4	2	-3	5	6	-8	6	1	-11	3	-5	-9	8	2	-4	3	6	4

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Quadratic twists for elliptic curve 2600i1

-4	8	-3	5	-7	13
5200d1	20800bb1	23400j1	2600g1	127400bw1	33800i1

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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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