Cremona's table of elliptic curves

7470 = 2 · 3² · 5 · 83

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 83+	Signs for the Atkin-Lehner involutions
Class	7470n	Isogeny class
Conductor	7470	Conductor
∏ cp	448	Product of Tamagawa factors cp
Δ	37489633781760000 = 214 · 312 · 54 · 832	Discriminant
Eigenvalues	2- 3- 5-  0  4  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-796937,-273474039]	[a1,a2,a3,a4,a6]
j	76783454067608361289/51426109440000	j-invariant
L	4.4742380888062	L(r)(E,1)/r!
Ω	0.15979421745736	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	59760bn2 2490c2 37350r2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 7470n2

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	4	2	6	0	-4	6	0	6	-2	0	0	-10	4	-10	8	0	2	8	+	2	-14

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Quadratic twists for elliptic curve 7470n2

-4	-3	5
59760bn2	2490c2	37350r2

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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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