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	15600bo	Isogeny class
Conductor	15600	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	14017536000 = 213 · 34 · 53 · 132	Discriminant
Eigenvalues	2- 3+ 5-  0  6 13+  0 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1048,-11408]	[a1,a2,a3,a4,a6]
Generators	[-14:18:1]	Generators of the group modulo torsion
j	248858189/27378	j-invariant
L	4.4383086131375	L(r)(E,1)/r!
Ω	0.8450160747436	Real period
R	1.3130840778633	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	1950j2 62400hy2 46800em2 15600ct2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15600bo2

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	+	0	-6	6	2	-4	-10	-6	8	8	6	-10	-6	4	8	-6	-16	4	-10	-2

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Quadratic twists for elliptic curve 15600bo2

-4	8	-3	5
1950j2	62400hy2	46800em2	15600ct2

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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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