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	16	Product of Tamagawa factors cp
Δ	794152066433418 = 2 · 37 · 7 · 1110	Discriminant
Eigenvalues	2+ 3-  2 7+ 11- -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-246681,-47076485]	[a1,a2,a3,a4,a6]
Generators	[-285:275:1]	Generators of the group modulo torsion
j	1285429208617/614922	j-invariant
L	3.8599595177351	L(r)(E,1)/r!
Ω	0.21422887950705	Real period
R	4.5044808228204	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	121968fu4 5082r4 106722dn4 1386l4	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246l3

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 15246l3

-4	-3	-7	-11
121968fu4	5082r4	106722dn4	1386l4

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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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