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	15246bb	Isogeny class
Conductor	15246	Conductor
∏ cp	42	Product of Tamagawa factors cp
Δ	-12652202166912 = -1 · 27 · 39 · 73 · 114	Discriminant
Eigenvalues	2- 3+  0 7- 11-  5  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-233795,-43452989]	[a1,a2,a3,a4,a6]
j	-4904170882875/43904	j-invariant
L	4.5594237434425	L(r)(E,1)/r!
Ω	0.1085577081772	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	121968cn2 15246c1 106722eq2 15246a2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246bb2

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	-	-	5	6	2	-3	-3	5	-4	9	-1	6	-6	9	5	-13	3	2	8	-3	3	-10

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Quadratic twists for elliptic curve 15246bb2

-4	-3	-7	-11
121968cn2	15246c1	106722eq2	15246a2

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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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