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	288	Product of Tamagawa factors cp
Δ	1.6761360036096E+22	Discriminant
Eigenvalues	2- 3- 5+  2  0 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-6401008,-236788012]	[a1,a2,a3,a4,a6]
Generators	[-2062:64800:1]	Generators of the group modulo torsion
j	453198971846635561/261896250564000	j-invariant
L	6.2861389839327	L(r)(E,1)/r!
Ω	0.10375046340802	Real period
R	0.84151417757625	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	1950n2 62400ev2 46800dd2 3120s2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15600cd2

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 15600cd2

-4	8	-3	5
1950n2	62400ev2	46800dd2	3120s2

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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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