Cremona's table of elliptic curves

2465 = 5 · 17 · 29

Field	Data	Notes
Atkin-Lehner	5+ 17- 29+	Signs for the Atkin-Lehner involutions
Class	2465a	Isogeny class
Conductor	2465	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	224	Modular degree for the optimal curve
Δ	2465 = 5 · 17 · 29	Discriminant
Eigenvalues	-1 -2 5+  0 -4 -6 17- -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-51,136]	[a1,a2,a3,a4,a6]
Generators	[-5:19:1] [3:2:1]	Generators of the group modulo torsion
j	14688124849/2465	j-invariant
L	1.904691567033	L(r)(E,1)/r!
Ω	4.4352516248897	Real period
R	1.7177754302336	Regulator
r	2	Rank of the group of rational points
S	0.99999999999903	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	39440j1 22185p1 12325c1 120785i1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2465a1

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
-1	-2	+	0	-4	-6	-	-2	-4	+	-4	-6	-6	-8	0	-6	-4	-2	-6	-6	-6	-4	6	-14	10

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Quadratic twists for elliptic curve 2465a1

-4	-3	5	-7	17	29
39440j1	22185p1	12325c1	120785i1	41905g1	71485a1

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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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