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	15246n	Isogeny class
Conductor	15246	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	30720	Modular degree for the optimal curve
Δ	7156801225728 = 210 · 37 · 74 · 113	Discriminant
Eigenvalues	2+ 3-  0 7- 11+ -2 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-15912,765760]	[a1,a2,a3,a4,a6]
Generators	[-16:1016:1]	Generators of the group modulo torsion
j	459206250875/7375872	j-invariant
L	3.5602911429103	L(r)(E,1)/r!
Ω	0.7467343402033	Real period
R	0.2979884337063	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	121968dh1 5082s1 106722ca1 15246be1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246n1

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

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Quadratic twists for elliptic curve 15246n1

-4	-3	-7	-11
121968dh1	5082s1	106722ca1	15246be1

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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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