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	15246k	Isogeny class
Conductor	15246	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	30720	Modular degree for the optimal curve
Δ	-40789783609344 = -1 · 220 · 38 · 72 · 112	Discriminant
Eigenvalues	2+ 3- -1 7+ 11-  1  3 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,5670,-261068]	[a1,a2,a3,a4,a6]
Generators	[228:3470:1]	Generators of the group modulo torsion
j	228516153239/462422016	j-invariant
L	3.1573445244207	L(r)(E,1)/r!
Ω	0.33598242626502	Real period
R	1.1746687763999	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	121968fr1 5082q1 106722cy1 15246br1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246k1

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
+	-	-1	+	-	1	3	-2	4	-1	2	-11	3	6	2	5	-6	-10	-8	6	6	6	0	-3	1

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Quadratic twists for elliptic curve 15246k1

-4	-3	-7	-11
121968fr1	5082q1	106722cy1	15246br1

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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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