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	15600bz	Isogeny class
Conductor	15600	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	92537640000000000 = 212 · 34 · 510 · 134	Discriminant
Eigenvalues	2- 3- 5+  0 -4 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-208008,33383988]	[a1,a2,a3,a4,a6]
Generators	[78:4200:1]	Generators of the group modulo torsion
j	15551989015681/1445900625	j-invariant
L	5.7232925650579	L(r)(E,1)/r!
Ω	0.32962242934492	Real period
R	2.17039711786	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	975a3 62400ep4 46800cw4 3120r3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15600bz3

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	8	-2	8	-6	-6	-4	-8	-6	12	-2	-4	0	6	-16	-4	10	-18

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Quadratic twists for elliptic curve 15600bz3

-4	8	-3	5
975a3	62400ep4	46800cw4	3120r3

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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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