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	1360a	Isogeny class
Conductor	1360	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	128	Modular degree for the optimal curve
Δ	108800 = 28 · 52 · 17	Discriminant
Eigenvalues	2+  0 5+  0  0 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-143,-658]	[a1,a2,a3,a4,a6]
j	1263257424/425	j-invariant
L	1.3806204877035	L(r)(E,1)/r!
Ω	1.3806204877035	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	680a1 5440v1 12240r1 6800a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1360a1

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	0	-2	-	4	8	2	8	2	2	4	0	6	4	-6	-4	8	2	0	-4	-6	18

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Quadratic twists for elliptic curve 1360a1

-4	8	-3	5	-7	17
680a1	5440v1	12240r1	6800a1	66640n1	23120i1

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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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