Cremona's table of elliptic curves

7360 = 2⁶ · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 5- 23+	Signs for the Atkin-Lehner involutions
Class	7360t	Isogeny class
Conductor	7360	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	229245747200 = 215 · 52 · 234	Discriminant
Eigenvalues	2-  0 5-  0  4  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1772,-17136]	[a1,a2,a3,a4,a6]
Generators	[-27:105:1]	Generators of the group modulo torsion
j	18778674312/6996025	j-invariant
L	4.4996915222377	L(r)(E,1)/r!
Ω	0.75902295882728	Real period
R	2.9641340027381	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	7360y3 3680d2 66240ew4 36800ck4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7360t3

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	4	2	2	-4	+	2	-8	-10	-6	-12	0	6	0	-10	-4	16	-6	8	-4	10	2

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Quadratic twists for elliptic curve 7360t3

-4	8	-3	5
7360y3	3680d2	66240ew4	36800ck4

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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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