Cremona's table of elliptic curves

7245 = 3² · 5 · 7 · 23

Field	Data	Notes
Atkin-Lehner	3- 5- 7- 23-	Signs for the Atkin-Lehner involutions
Class	7245u	Isogeny class
Conductor	7245	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	-2910384421875 = -1 · 37 · 56 · 7 · 233	Discriminant
Eigenvalues	0 3- 5- 7- -3 -4  6 -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,1698,77535]	[a1,a2,a3,a4,a6]
Generators	[53:562:1]	Generators of the group modulo torsion
j	742692847616/3992296875	j-invariant
L	3.5829823741347	L(r)(E,1)/r!
Ω	0.57917248291445	Real period
R	0.7732977825761	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	115920ec2 2415d2 36225be2 50715y2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7245u2

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	-	-	-	-3	-4	6	-1	-	-6	8	-10	3	-10	3	9	3	11	-10	0	2	-10	0	0	2

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Quadratic twists for elliptic curve 7245u2

-4	-3	5	-7
115920ec2	2415d2	36225be2	50715y2

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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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