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
Δ	-988674826240000 = -1 · 216 · 54 · 176	Discriminant
Eigenvalues	2-  2 5+ -2 -6  2 17- -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-39576,-3373840]	[a1,a2,a3,a4,a6]
Generators	[386:6222:1]	Generators of the group modulo torsion
j	-1673672305534489/241375690000	j-invariant
L	3.1903795388374	L(r)(E,1)/r!
Ω	0.16790172457545	Real period
R	3.1669116233563	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	170b2 5440y2 12240ca2 6800m2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1360f2

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 1360f2

-4	8	-3	5	-7	17
170b2	5440y2	12240ca2	6800m2	66640cg2	23120bk2

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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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