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	15246y	Isogeny class
Conductor	15246	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	92160	Modular degree for the optimal curve
Δ	-70007895663552 = -1 · 26 · 36 · 7 · 118	Discriminant
Eigenvalues	2+ 3-  4 7- 11- -2 -4  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-31785,2225933]	[a1,a2,a3,a4,a6]
j	-2749884201/54208	j-invariant
L	2.4665780751824	L(r)(E,1)/r!
Ω	0.61664451879559	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121968ey1 1694g1 106722dx1 1386k1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246y1

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

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Quadratic twists for elliptic curve 15246y1

-4	-3	-7	-11
121968ey1	1694g1	106722dx1	1386k1

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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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