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	8360q	Isogeny class
Conductor	8360	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	4228320800000 = 28 · 55 · 114 · 192	Discriminant
Eigenvalues	2- -2 5- -4 11- -4 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-15900,760048]	[a1,a2,a3,a4,a6]
Generators	[1926:84370:1] [-109:1100:1]	Generators of the group modulo torsion
j	1736610544209616/16516878125	j-invariant
L	4.1791202767379	L(r)(E,1)/r!
Ω	0.78238926559546	Real period
R	0.13353711702437	Regulator
r	2	Rank of the group of rational points
S	1.0000000000002	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16720o2 66880h2 75240i2 41800c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8360q2

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	-	-4	-	-4	-6	+	-4	-6	-8	-8	-10	8	8	-12	0	2	-6	8	-14	-12	-12	-2	0

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Quadratic twists for elliptic curve 8360q2

-4	8	-3	5	-11
16720o2	66880h2	75240i2	41800c2	91960n2

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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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