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	15600r	Isogeny class
Conductor	15600	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-914062500000000000 = -1 · 211 · 32 · 518 · 13	Discriminant
Eigenvalues	2+ 3- 5+  0  0 13- -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5408,-46000812]	[a1,a2,a3,a4,a6]
Generators	[379:2556:1]	Generators of the group modulo torsion
j	-546718898/28564453125	j-invariant
L	6.0422206991205	L(r)(E,1)/r!
Ω	0.12775009099688	Real period
R	5.9121491147001	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	7800o4 62400dx3 46800ba3 3120a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15600r4

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

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Quadratic twists for elliptic curve 15600r4

-4	8	-3	5
7800o4	62400dx3	46800ba3	3120a4

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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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