Cremona's table of elliptic curves

1015 = 5 · 7 · 29

Field	Data	Notes
Atkin-Lehner	5+ 7- 29-	Signs for the Atkin-Lehner involutions
Class	1015b	Isogeny class
Conductor	1015	Conductor
∏ cp	90	Product of Tamagawa factors cp
deg	18720	Modular degree for the optimal curve
Δ	-6095540060410757075 = -1 · 52 · 75 · 299	Discriminant
Eigenvalues	0  1 5+ 7-  6 -4 -6 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,448219,-27594650]	[a1,a2,a3,a4,a6]
Generators	[2234:110127:1]	Generators of the group modulo torsion
j	9958490884690134695936/6095540060410757075	j-invariant
L	2.387451229564	L(r)(E,1)/r!
Ω	0.13830410915495	Real period
R	1.7262330411956	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	16240m1 64960u1 9135k1 5075d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1015b1

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	1	+	-	6	-4	-6	-7	3	-	-4	2	-3	-10	-9	3	0	-10	5	-9	-7	-10	-6	15	17

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Quadratic twists for elliptic curve 1015b1

-4	8	-3	5	-7	-11	29
16240m1	64960u1	9135k1	5075d1	7105c1	122815a1	29435d1

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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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