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	15246bs	Isogeny class
Conductor	15246	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	40960	Modular degree for the optimal curve
Δ	-20828795404032 = -1 · 28 · 38 · 7 · 116	Discriminant
Eigenvalues	2- 3-  2 7- 11- -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-4379,247371]	[a1,a2,a3,a4,a6]
Generators	[3:482:1]	Generators of the group modulo torsion
j	-7189057/16128	j-invariant
L	8.4548967697101	L(r)(E,1)/r!
Ω	0.60499774679824	Real period
R	0.87344300190114	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	121968ee1 5082i1 106722hi1 126b1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246bs1

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

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Quadratic twists for elliptic curve 15246bs1

-4	-3	-7	-11
121968ee1	5082i1	106722hi1	126b1

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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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