Cremona's table of elliptic curves

15912 = 2³ · 3² · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 13+ 17+	Signs for the Atkin-Lehner involutions
Class	15912m	Isogeny class
Conductor	15912	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	18432	Modular degree for the optimal curve
Δ	599874539472 = 24 · 310 · 133 · 172	Discriminant
Eigenvalues	2- 3-  0  2  2 13+ 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-7050,224773]	[a1,a2,a3,a4,a6]
Generators	[2:459:1]	Generators of the group modulo torsion
j	3322336000000/51429573	j-invariant
L	5.4003630958563	L(r)(E,1)/r!
Ω	0.91834323452545	Real period
R	1.4701374423058	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	31824d1 127296s1 5304e1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 15912m1

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	+	+	-4	8	-2	-6	8	-4	-4	0	14	-8	-10	-12	6	-8	4	-4	-2	-12

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Quadratic twists for elliptic curve 15912m1

-4	8	-3
31824d1	127296s1	5304e1

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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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