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	1015a	Isogeny class
Conductor	1015	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	-147175 = -1 · 52 · 7 · 292	Discriminant
Eigenvalues	-1  2 5+ 7-  0 -2  0  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-6,-22]	[a1,a2,a3,a4,a6]
j	-24137569/147175	j-invariant
L	1.3620755055775	L(r)(E,1)/r!
Ω	1.3620755055775	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	16240k1 64960y1 9135n1 5075a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1015a1

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	2	+	-	0	-2	0	6	8	+	2	-2	8	8	6	-2	12	-4	-12	8	0	16	0	-12	8

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Quadratic twists for elliptic curve 1015a1

-4	8	-3	5	-7	-11	29
16240k1	64960y1	9135n1	5075a1	7105b1	122815c1	29435f1

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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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