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	24	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	128791347200 = 220 · 52 · 173	Discriminant
Eigenvalues	2-  2 5+ -2 -6  2 17- -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-40856,-3164944]	[a1,a2,a3,a4,a6]
Generators	[1036:32640:1]	Generators of the group modulo torsion
j	1841373668746009/31443200	j-invariant
L	3.1903795388374	L(r)(E,1)/r!
Ω	0.33580344915091	Real period
R	1.5834558116781	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	170b1 5440y1 12240ca1 6800m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1360f1

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 1360f1

-4	8	-3	5	-7	17
170b1	5440y1	12240ca1	6800m1	66640cg1	23120bk1

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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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