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	8360d	Isogeny class
Conductor	8360	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	144000	Modular degree for the optimal curve
Δ	468170514048050000 = 24 · 55 · 1110 · 192	Discriminant
Eigenvalues	2+ -2 5+  2 11-  6  0 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1021031,-396079706]	[a1,a2,a3,a4,a6]
j	7357341911923925653504/29260657128003125	j-invariant
L	1.502255083293	L(r)(E,1)/r!
Ω	0.1502255083293	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	16720h1 66880bg1 75240bj1 41800v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8360d1

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

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Quadratic twists for elliptic curve 8360d1

-4	8	-3	5	-11
16720h1	66880bg1	75240bj1	41800v1	91960v1

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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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