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	7350cz	Isogeny class
Conductor	7350	Conductor
∏ cp	594	Product of Tamagawa factors cp
deg	19008	Modular degree for the optimal curve
Δ	-8641624320000 = -1 · 211 · 39 · 54 · 73	Discriminant
Eigenvalues	2- 3- 5- 7- -4  1 -5 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2213,146817]	[a1,a2,a3,a4,a6]
Generators	[-38:439:1]	Generators of the group modulo torsion
j	-5591213575/40310784	j-invariant
L	7.0533554062309	L(r)(E,1)/r!
Ω	0.63050602855225	Real period
R	0.018833024845125	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	58800hi1 22050cr1 7350h1 7350cf1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7350cz1

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
-	-	-	-	-4	1	-5	-6	5	-3	-7	-4	5	1	8	-5	-1	1	-4	-12	-4	-8	-13	-2	-18

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Quadratic twists for elliptic curve 7350cz1

-4	-3	5	-7
58800hi1	22050cr1	7350h1	7350cf1

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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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