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
Δ	-447293440 = -1 · 211 · 5 · 112 · 192	Discriminant
Eigenvalues	2-  2 5+  0 11- -2 -4 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,144,-820]	[a1,a2,a3,a4,a6]
Generators	[38245:668382:125]	Generators of the group modulo torsion
j	160125982/218405	j-invariant
L	5.5914469079835	L(r)(E,1)/r!
Ω	0.88898477942631	Real period
R	6.289699258509	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	16720i2 66880bi2 75240m2 41800d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8360j2

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 8360j2

-4	8	-3	5	-11
16720i2	66880bi2	75240m2	41800d2	91960h2

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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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