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	15600h	Isogeny class
Conductor	15600	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-4691658348000000 = -1 · 28 · 35 · 56 · 136	Discriminant
Eigenvalues	2+ 3+ 5+  0  2 13- -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,14092,-3236688]	[a1,a2,a3,a4,a6]
j	77366117936/1172914587	j-invariant
L	1.2733165338035	L(r)(E,1)/r!
Ω	0.21221942230059	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7800i2 62400gd2 46800bb2 624e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15600h2

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

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Quadratic twists for elliptic curve 15600h2

-4	8	-3	5
7800i2	62400gd2	46800bb2	624e2

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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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