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	15246bv	Isogeny class
Conductor	15246	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	3001588526574792 = 23 · 36 · 74 · 118	Discriminant
Eigenvalues	2- 3- -2 7- 11- -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-5623256,-5131104173]	[a1,a2,a3,a4,a6]
Generators	[3743:160147:1]	Generators of the group modulo torsion
j	15226621995131793/2324168	j-invariant
L	6.68159805829	L(r)(E,1)/r!
Ω	0.098039841590223	Real period
R	5.6793220915032	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	121968eh4 1694d4 106722gt4 1386c4	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246bv3

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
-	-	-2	-	-	-2	2	0	8	-2	-8	-2	10	-4	-8	-6	0	-10	-12	-16	14	0	0	6	10

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Quadratic twists for elliptic curve 15246bv3

-4	-3	-7	-11
121968eh4	1694d4	106722gt4	1386c4

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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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