Cremona's table of elliptic curves

74160 = 2⁴ · 3² · 5 · 103

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 103-	Signs for the Atkin-Lehner involutions
Class	74160by	Isogeny class
Conductor	74160	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	39936	Modular degree for the optimal curve
Δ	-288334080 = -1 · 28 · 37 · 5 · 103	Discriminant
Eigenvalues	2- 3- 5- -3 -2  6 -1  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2127,-37766]	[a1,a2,a3,a4,a6]
Generators	[562:3195:8]	Generators of the group modulo torsion
j	-5702413264/1545	j-invariant
L	6.4485286012625	L(r)(E,1)/r!
Ω	0.35149619472578	Real period
R	4.5864853580111	Regulator
r	1	Rank of the group of rational points
S	0.99999999988164	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18540e1 24720u1	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 74160by1

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
-	-	-	-3	-2	6	-1	2	0	-6	7	7	-2	-4	9	-2	-12	1	-14	4	1	12	-12	-3	6

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Quadratic twists for elliptic curve 74160by1

-4	-3
18540e1	24720u1

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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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