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	15246d	Isogeny class
Conductor	15246	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-111169945428696 = -1 · 23 · 33 · 74 · 118	Discriminant
Eigenvalues	2+ 3+ -2 7- 11-  4  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,11412,-195640]	[a1,a2,a3,a4,a6]
Generators	[47:642:1]	Generators of the group modulo torsion
j	3436115229/2324168	j-invariant
L	3.4272068228083	L(r)(E,1)/r!
Ω	0.33651165563161	Real period
R	1.2730639360677	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	121968cs2 15246bc2 106722z2 1386f2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246d2

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

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Quadratic twists for elliptic curve 15246d2

-4	-3	-7	-11
121968cs2	15246bc2	106722z2	1386f2

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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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