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	15600d	Isogeny class
Conductor	15600	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1105397280000000 = 211 · 312 · 57 · 13	Discriminant
Eigenvalues	2+ 3+ 5+  0 -4 13+  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-75408,7833312]	[a1,a2,a3,a4,a6]
Generators	[277:2850:1]	Generators of the group modulo torsion
j	1481943889298/34543665	j-invariant
L	3.8595364683769	L(r)(E,1)/r!
Ω	0.48898066206535	Real period
R	3.9465123754333	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	7800t3 62400gx3 46800o3 3120h4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15600d4

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

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Quadratic twists for elliptic curve 15600d4

-4	8	-3	5
7800t3	62400gx3	46800o3	3120h4

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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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