Cremona's table of elliptic curves

15246 = 2 · 3² · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 11+	Signs for the Atkin-Lehner involutions
Class	15246h	Isogeny class
Conductor	15246	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	41934382182 = 2 · 38 · 74 · 113	Discriminant
Eigenvalues	2+ 3- -4 7+ 11+ -2 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1359,-16241]	[a1,a2,a3,a4,a6]
Generators	[-25:53:1] [-19:59:1]	Generators of the group modulo torsion
j	286191179/43218	j-invariant
L	4.1730688825026	L(r)(E,1)/r!
Ω	0.79424826132831	Real period
R	1.3135278620326	Regulator
r	2	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121968fi2 5082o2 106722ch2 15246bp2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246h2

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

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Quadratic twists for elliptic curve 15246h2

-4	-3	-7	-11
121968fi2	5082o2	106722ch2	15246bp2

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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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