Cremona's table of elliptic curves

7350 = 2 · 3 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	7350ck	Isogeny class
Conductor	7350	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	110592	Modular degree for the optimal curve
Δ	11117830500000000 = 28 · 33 · 59 · 77	Discriminant
Eigenvalues	2- 3- 5+ 7-  0  2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-609463,-183114583]	[a1,a2,a3,a4,a6]
j	13619385906841/6048000	j-invariant
L	4.1009599800103	L(r)(E,1)/r!
Ω	0.17087333250043	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	58800fe1 22050bd1 1470b1 1050k1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7350ck1

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

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Quadratic twists for elliptic curve 7350ck1

-4	-3	5	-7
58800fe1	22050bd1	1470b1	1050k1

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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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