Cremona's table of elliptic curves

15015 = 3 · 5 · 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	3+ 5- 7+ 11+ 13-	Signs for the Atkin-Lehner involutions
Class	15015f	Isogeny class
Conductor	15015	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	952527200625 = 32 · 54 · 72 · 112 · 134	Discriminant
Eigenvalues	-1 3+ 5- 7+ 11+ 13- -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2520,11832]	[a1,a2,a3,a4,a6]
Generators	[-5:158:1]	Generators of the group modulo torsion
j	1769848555063681/952527200625	j-invariant
L	2.3454470226627	L(r)(E,1)/r!
Ω	0.77038917514168	Real period
R	1.5222481690707	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	45045x2 75075bm2 105105bs2	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 15015f2

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
-1	+	-	+	+	-	-6	4	-8	-2	0	6	2	12	0	-2	-4	-2	12	0	10	-8	-4	-6	2

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Quadratic twists for elliptic curve 15015f2

-3	5	-7
45045x2	75075bm2	105105bs2

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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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