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	15246l	Isogeny class
Conductor	15246	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	275656089175236 = 22 · 38 · 72 · 118	Discriminant
Eigenvalues	2+ 3-  2 7+ 11- -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-17991,-469463]	[a1,a2,a3,a4,a6]
Generators	[-96:653:1]	Generators of the group modulo torsion
j	498677257/213444	j-invariant
L	3.8599595177351	L(r)(E,1)/r!
Ω	0.42845775901409	Real period
R	2.2522404114102	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	121968fu2 5082r2 106722dn2 1386l2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246l2

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

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Quadratic twists for elliptic curve 15246l2

-4	-3	-7	-11
121968fu2	5082r2	106722dn2	1386l2

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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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