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	7360m	Isogeny class
Conductor	7360	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-5750000000000 = -1 · 210 · 512 · 23	Discriminant
Eigenvalues	2+ -1 5- -4  6  1  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1655,-112975]	[a1,a2,a3,a4,a6]
Generators	[40:125:1]	Generators of the group modulo torsion
j	489277573376/5615234375	j-invariant
L	3.3108246981381	L(r)(E,1)/r!
Ω	0.37334827404957	Real period
R	0.73899379575421	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	7360w2 460c2 66240bo2 36800g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7360m2

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	-	-4	6	1	0	-2	-	-9	5	-2	-9	4	-3	6	0	-2	10	-3	-7	-10	12	0	8

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Quadratic twists for elliptic curve 7360m2

-4	8	-3	5
7360w2	460c2	66240bo2	36800g2

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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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