Cremona's table of elliptic curves

8760 = 2³ · 3 · 5 · 73

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 73-	Signs for the Atkin-Lehner involutions
Class	8760c	Isogeny class
Conductor	8760	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	37843200 = 28 · 34 · 52 · 73	Discriminant
Eigenvalues	2- 3+ 5+ -2  6  6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-596,5796]	[a1,a2,a3,a4,a6]
Generators	[-4:90:1]	Generators of the group modulo torsion
j	91611713104/147825	j-invariant
L	3.5233570595337	L(r)(E,1)/r!
Ω	2.050736407594	Real period
R	0.42952339541134	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	17520f1 70080be1 26280e1 43800l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8760c1

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
-	+	+	-2	6	6	-2	0	-8	-6	-2	2	-10	-2	6	-6	10	-6	12	-8	-	12	6	-6	-18

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Quadratic twists for elliptic curve 8760c1

-4	8	-3	5
17520f1	70080be1	26280e1	43800l1

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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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