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	2	Product of Tamagawa factors cp
deg	1408	Modular degree for the optimal curve
Δ	36800 = 26 · 52 · 23	Discriminant
Eigenvalues	2-  0 5-  0  4  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-767,8176]	[a1,a2,a3,a4,a6]
Generators	[52:330:1]	Generators of the group modulo torsion
j	779704121664/575	j-invariant
L	4.4996915222377	L(r)(E,1)/r!
Ω	3.0360918353091	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	7360y1 3680d3 66240ew1 36800ck1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7360t1

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 7360t1

-4	8	-3	5
7360y1	3680d3	66240ew1	36800ck1

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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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