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	15600s	Isogeny class
Conductor	15600	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	468000000 = 28 · 32 · 56 · 13	Discriminant
Eigenvalues	2+ 3- 5+  0 -6 13- -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1708,26588]	[a1,a2,a3,a4,a6]
Generators	[22:12:1]	Generators of the group modulo torsion
j	137842000/117	j-invariant
L	5.53115952661	L(r)(E,1)/r!
Ω	1.6522241033828	Real period
R	1.6738526920426	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	7800p2 62400dy2 46800bd2 624a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15600s2

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	-6	-	-2	0	4	-6	4	2	0	4	10	10	6	-6	-12	-2	-6	16	6	4	-14

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Quadratic twists for elliptic curve 15600s2

-4	8	-3	5
7800p2	62400dy2	46800bd2	624a2

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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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