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	1360d	Isogeny class
Conductor	1360	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2016	Modular degree for the optimal curve
Δ	-18253611008000 = -1 · 233 · 53 · 17	Discriminant
Eigenvalues	2- -1 5+ -2  0 -1 17+  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,6384,58816]	[a1,a2,a3,a4,a6]
j	7023836099951/4456448000	j-invariant
L	0.85727430571389	L(r)(E,1)/r!
Ω	0.42863715285695	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	170c1 5440u1 12240cg1 6800r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1360d1

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
-	-1	+	-2	0	-1	+	1	6	-3	-5	8	6	10	3	-3	-3	11	-2	-9	11	-8	12	15	-7

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Quadratic twists for elliptic curve 1360d1

-4	8	-3	5	-7	17
170c1	5440u1	12240cg1	6800r1	66640cl1	23120be1

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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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