Cremona's table of elliptic curves

2415 = 3 · 5 · 7 · 23

Field	Data	Notes
Atkin-Lehner	3- 5- 7- 23-	Signs for the Atkin-Lehner involutions
Class	2415i	Isogeny class
Conductor	2415	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	-21258460125 = -1 · 38 · 53 · 72 · 232	Discriminant
Eigenvalues	-1 3- 5- 7- -2 -4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,395,-6298]	[a1,a2,a3,a4,a6]
Generators	[59:-502:1]	Generators of the group modulo torsion
j	6814692748079/21258460125	j-invariant
L	2.5753280422991	L(r)(E,1)/r!
Ω	0.61917971609392	Real period
R	0.1733024068888	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	38640bt2 7245k2 12075b2 16905h2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2415i2

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

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Quadratic twists for elliptic curve 2415i2

-4	-3	5	-7	-23
38640bt2	7245k2	12075b2	16905h2	55545h2

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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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