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	15246i	Isogeny class
Conductor	15246	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	32400348406272 = 29 · 36 · 72 · 116	Discriminant
Eigenvalues	2+ 3-  0 7+ 11-  4  6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-2973537,-1972852227]	[a1,a2,a3,a4,a6]
Generators	[4163599774:604077568389:195112]	Generators of the group modulo torsion
j	2251439055699625/25088	j-invariant
L	3.6185139800371	L(r)(E,1)/r!
Ω	0.1149691211196	Real period
R	15.736895023633	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	121968fl6 1694f6 106722cv6 126a6	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246i6

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

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Quadratic twists for elliptic curve 15246i6

-4	-3	-7	-11
121968fl6	1694f6	106722cv6	126a6

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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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