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	15015d	Isogeny class
Conductor	15015	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	312480	Modular degree for the optimal curve
Δ	-6936039686748046875 = -1 · 3 · 510 · 73 · 11 · 137	Discriminant
Eigenvalues	0 3+ 5+ 7- 11- 13+ -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-1332651,605987807]	[a1,a2,a3,a4,a6]
Generators	[-899:32812:1]	Generators of the group modulo torsion
j	-261741945752892238495744/6936039686748046875	j-invariant
L	3.0191223065652	L(r)(E,1)/r!
Ω	0.23574023978454	Real period
R	2.1344979183617	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	45045bi1 75075bj1 105105co1	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 15015d1

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	+	+	-	-	+	-4	4	6	-7	-1	6	-9	2	-6	4	-12	-7	6	-3	-2	12	-17	-4	13

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Quadratic twists for elliptic curve 15015d1

-3	5	-7
45045bi1	75075bj1	105105co1

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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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