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	15246bo	Isogeny class
Conductor	15246	Conductor
∏ cp	352	Product of Tamagawa factors cp
deg	1486848	Modular degree for the optimal curve
Δ	3.532607367444E+19	Discriminant
Eigenvalues	2- 3-  4 7- 11+  2 -2  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-17970503,-29315766081]	[a1,a2,a3,a4,a6]
j	661452718394879874611/36407410163712	j-invariant
L	6.4527316534364	L(r)(E,1)/r!
Ω	0.073326496061778	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121968do1 5082g1 106722ge1 15246g1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246bo1

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
-	-	4	-	+	2	-2	6	2	6	-8	6	-6	10	-2	12	-4	-6	-4	6	-16	-4	-4	-18	-2

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Quadratic twists for elliptic curve 15246bo1

-4	-3	-7	-11
121968do1	5082g1	106722ge1	15246g1

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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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