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	7360k	Isogeny class
Conductor	7360	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	800	Modular degree for the optimal curve
Δ	-4600000 = -1 · 26 · 55 · 23	Discriminant
Eigenvalues	2+  0 5-  1 -2  2  3  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,28,-86]	[a1,a2,a3,a4,a6]
Generators	[3:5:1]	Generators of the group modulo torsion
j	37933056/71875	j-invariant
L	4.4151020540498	L(r)(E,1)/r!
Ω	1.278476553393	Real period
R	0.69068174028414	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	7360u1 115a1 66240be1 36800b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7360k1

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	-	1	-2	2	3	2	-	-7	-5	-11	1	0	0	-11	13	8	-5	5	6	-12	-9	4	-14

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Quadratic twists for elliptic curve 7360k1

-4	8	-3	5
7360u1	115a1	66240be1	36800b1

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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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