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	8360l	Isogeny class
Conductor	8360	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	207360	Modular degree for the optimal curve
Δ	10894835600000000 = 210 · 58 · 11 · 195	Discriminant
Eigenvalues	2-  0 5+ -2 11-  6  6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-9077363,10526587838]	[a1,a2,a3,a4,a6]
j	80779816936648490883876/10639487890625	j-invariant
L	1.5746687076273	L(r)(E,1)/r!
Ω	0.31493374152546	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16720a1 66880t1 75240u1 41800e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8360l1

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

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Quadratic twists for elliptic curve 8360l1

-4	8	-3	5	-11
16720a1	66880t1	75240u1	41800e1	91960b1

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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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