Cremona's table of elliptic curves

1360 = 2⁴ · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 5+ 17-	Signs for the Atkin-Lehner involutions
Class	1360f	Isogeny class
Conductor	1360	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1183744000000000000 = -1 · 224 · 512 · 172	Discriminant
Eigenvalues	2-  2 5+ -2 -6  2 17- -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,260984,10239216]	[a1,a2,a3,a4,a6]
Generators	[489138:19568190:2197]	Generators of the group modulo torsion
j	479958568556831351/289000000000000	j-invariant
L	3.1903795388374	L(r)(E,1)/r!
Ω	0.16790172457545	Real period
R	9.5007348700688	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	170b4 5440y4 12240ca4 6800m4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1360f4

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

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Quadratic twists for elliptic curve 1360f4

-4	8	-3	5	-7	17
170b4	5440y4	12240ca4	6800m4	66640cg4	23120bk4

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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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