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	15246z	Isogeny class
Conductor	15246	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	310464	Modular degree for the optimal curve
Δ	-30746430621422208 = -1 · 27 · 33 · 73 · 1110	Discriminant
Eigenvalues	2- 3+  0 7+ 11- -5  6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-3143240,-2144166901]	[a1,a2,a3,a4,a6]
Generators	[39333:7772929:1]	Generators of the group modulo torsion
j	-4904170882875/43904	j-invariant
L	7.038433332853	L(r)(E,1)/r!
Ω	0.05669241412623	Real period
R	8.8679454881128	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	121968cz1 15246a2 106722ep1 15246c1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246z1

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	+	-	-5	6	-2	3	-3	5	-4	9	1	-6	6	-9	-5	-13	-3	-2	-8	-3	-3	-10

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Quadratic twists for elliptic curve 15246z1

-4	-3	-7	-11
121968cz1	15246a2	106722ep1	15246c1

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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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