Cremona's table of elliptic curves

15600 = 2⁴ · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 13-	Signs for the Atkin-Lehner involutions
Class	15600bj	Isogeny class
Conductor	15600	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	15575040000000 = 217 · 32 · 57 · 132	Discriminant
Eigenvalues	2- 3+ 5+ -2 -4 13- -4  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-341008,76760512]	[a1,a2,a3,a4,a6]
Generators	[312:800:1]	Generators of the group modulo torsion
j	68523370149961/243360	j-invariant
L	3.3720775584975	L(r)(E,1)/r!
Ω	0.61175816138627	Real period
R	0.68901360278877	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	1950x2 62400gn2 46800ec2 3120x2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15600bj2

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

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Quadratic twists for elliptic curve 15600bj2

-4	8	-3	5
1950x2	62400gn2	46800ec2	3120x2

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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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