Cremona's table of elliptic curves

7455 = 3 · 5 · 7 · 71

Field	Data	Notes
Atkin-Lehner	3- 5- 7- 71+	Signs for the Atkin-Lehner involutions
Class	7455g	Isogeny class
Conductor	7455	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	2521474047225 = 34 · 52 · 72 · 714	Discriminant
Eigenvalues	-1 3- 5- 7- -4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-529305,-148264200]	[a1,a2,a3,a4,a6]
j	16399920883612419432721/2521474047225	j-invariant
L	1.4159993117896	L(r)(E,1)/r!
Ω	0.1769999139737	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	119280bq4 22365f4 37275a4 52185e4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7455g3

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
-1	-	-	-	-4	-2	2	-4	8	-2	0	6	2	-12	0	-2	12	6	-12	+	10	0	-12	10	2

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Quadratic twists for elliptic curve 7455g3

-4	-3	5	-7
119280bq4	22365f4	37275a4	52185e4

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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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