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	2415d	Isogeny class
Conductor	2415	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-3992296875 = -1 · 3 · 56 · 7 · 233	Discriminant
Eigenvalues	0 3- 5+ 7-  3 -4 -6 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,189,-2809]	[a1,a2,a3,a4,a6]
Generators	[106:371:8]	Generators of the group modulo torsion
j	742692847616/3992296875	j-invariant
L	3.0696083042766	L(r)(E,1)/r!
Ω	0.69851059115745	Real period
R	2.1972525135161	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	38640bl2 7245u2 12075g2 16905j2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2415d2

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	-	+	-	3	-4	-6	-1	+	6	8	-10	-3	-10	-3	-9	-3	11	-10	0	2	-10	0	0	2

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Quadratic twists for elliptic curve 2415d2

-4	-3	5	-7	-23
38640bl2	7245u2	12075g2	16905j2	55545r2

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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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