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	32	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	570535812 = 22 · 37 · 72 · 113	Discriminant
Eigenvalues	2+ 3- -4 7+ 11+ -2 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-369,2569]	[a1,a2,a3,a4,a6]
Generators	[-19:59:1] [-18:65:1]	Generators of the group modulo torsion
j	5735339/588	j-invariant
L	4.1730688825026	L(r)(E,1)/r!
Ω	1.5884965226566	Real period
R	0.32838196550814	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	121968fi1 5082o1 106722ch1 15246bp1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246h1

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 15246h1

-4	-3	-7	-11
121968fi1	5082o1	106722ch1	15246bp1

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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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