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	7350cr	Isogeny class
Conductor	7350	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	51840	Modular degree for the optimal curve
Δ	-1737161015625000 = -1 · 23 · 33 · 510 · 77	Discriminant
Eigenvalues	2- 3- 5+ 7-  6 -1  3  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,29987,165017]	[a1,a2,a3,a4,a6]
j	2595575/1512	j-invariant
L	5.1241566801207	L(r)(E,1)/r!
Ω	0.28467537111782	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	58800gg1 22050bv1 7350s1 1050l1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7350cr1

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
-	-	+	-	6	-1	3	4	3	3	-5	10	-9	1	0	-9	-9	-11	4	-12	-10	-10	9	6	14

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Quadratic twists for elliptic curve 7350cr1

-4	-3	5	-7
58800gg1	22050bv1	7350s1	1050l1

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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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