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	15600cx	Isogeny class
Conductor	15600	Conductor
∏ cp	140	Product of Tamagawa factors cp
deg	67200	Modular degree for the optimal curve
Δ	-487932468192000 = -1 · 28 · 35 · 53 · 137	Discriminant
Eigenvalues	2- 3- 5- -3 -3 13-  3  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-60613,5821103]	[a1,a2,a3,a4,a6]
Generators	[83:1170:1]	Generators of the group modulo torsion
j	-769623354048512/15247889631	j-invariant
L	5.1917060166373	L(r)(E,1)/r!
Ω	0.52450322809385	Real period
R	0.070702356855499	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	3900g1 62400fp1 46800fm1 15600bt1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15600cx1

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
-	-	-	-3	-3	-	3	0	-3	8	-4	1	-3	4	10	-9	-4	9	-4	-7	-6	5	-10	11	-1

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Quadratic twists for elliptic curve 15600cx1

-4	8	-3	5
3900g1	62400fp1	46800fm1	15600bt1

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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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