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	15600cd	Isogeny class
Conductor	15600	Conductor
∏ cp	144	Product of Tamagawa factors cp
deg	414720	Modular degree for the optimal curve
Δ	-2.62020096E+20	Discriminant
Eigenvalues	2- 3- 5+  2  0 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1598992,-28788012]	[a1,a2,a3,a4,a6]
Generators	[274:20736:1]	Generators of the group modulo torsion
j	7064514799444439/4094064000000	j-invariant
L	6.2861389839327	L(r)(E,1)/r!
Ω	0.10375046340802	Real period
R	1.6830283551525	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	1950n1 62400ev1 46800dd1 3120s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15600cd1

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	0	+	0	-2	-6	0	-8	-2	6	-4	0	6	0	14	-4	0	4	16	-12	-6	4

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Quadratic twists for elliptic curve 15600cd1

-4	8	-3	5
1950n1	62400ev1	46800dd1	3120s1

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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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