Cremona's table of elliptic curves

8360 = 2³ · 5 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 11- 19+	Signs for the Atkin-Lehner involutions
Class	8360j	Isogeny class
Conductor	8360	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1664	Modular degree for the optimal curve
Δ	5350400 = 210 · 52 · 11 · 19	Discriminant
Eigenvalues	2-  2 5+  0 11- -2 -4 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-56,-100]	[a1,a2,a3,a4,a6]
Generators	[74:75:8]	Generators of the group modulo torsion
j	19307236/5225	j-invariant
L	5.5914469079835	L(r)(E,1)/r!
Ω	1.7779695588526	Real period
R	3.1448496292545	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	16720i1 66880bi1 75240m1 41800d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8360j1

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	+	0	-	-2	-4	+	8	2	10	-10	-6	-6	-8	-10	0	-8	10	-6	8	12	2	6	-16

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Quadratic twists for elliptic curve 8360j1

-4	8	-3	5	-11
16720i1	66880bi1	75240m1	41800d1	91960h1

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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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