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	192	Product of Tamagawa factors cp
Δ	59296687627028544 = 26 · 36 · 72 · 1110	Discriminant
Eigenvalues	2- 3- -2 7- 11- -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-352496,-79607789]	[a1,a2,a3,a4,a6]
Generators	[-329:983:1]	Generators of the group modulo torsion
j	3750606459153/45914176	j-invariant
L	6.68159805829	L(r)(E,1)/r!
Ω	0.19607968318045	Real period
R	2.8396610457516	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	121968eh2 1694d2 106722gt2 1386c2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246bv2

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 15246bv2

-4	-3	-7	-11
121968eh2	1694d2	106722gt2	1386c2

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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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