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	8360h	Isogeny class
Conductor	8360	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	36698393600 = 210 · 52 · 11 · 194	Discriminant
Eigenvalues	2+  0 5-  0 11-  2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5987,-178066]	[a1,a2,a3,a4,a6]
Generators	[98:420:1]	Generators of the group modulo torsion
j	23176696298724/35838275	j-invariant
L	4.5114520368617	L(r)(E,1)/r!
Ω	0.54279716760421	Real period
R	4.1557439004097	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	16720m4 66880c4 75240bb4 41800t4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8360h3

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

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Quadratic twists for elliptic curve 8360h3

-4	8	-3	5	-11
16720m4	66880c4	75240bb4	41800t4	91960z4

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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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