Cremona's table of elliptic curves

16120 = 2³ · 5 · 13 · 31

Field	Data	Notes
Atkin-Lehner	2- 5- 13- 31-	Signs for the Atkin-Lehner involutions
Class	16120h	Isogeny class
Conductor	16120	Conductor
∏ cp	540	Product of Tamagawa factors cp
deg	2488320	Modular degree for the optimal curve
Δ	-6.9093721854579E+22	Discriminant
Eigenvalues	2- -3 5-  0  2 13- -3  7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5530612,13601513716]	[a1,a2,a3,a4,a6]
Generators	[35052:-6548750:1]	Generators of the group modulo torsion
j	-73080804850407726160896/269897350994451171875	j-invariant
L	3.2348661001275	L(r)(E,1)/r!
Ω	0.095941532346805	Real period
R	0.06243899416115	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	32240h1 128960d1 80600c1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 16120h1

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	-	0	2	-	-3	7	-8	-6	-	-1	7	11	12	-7	-9	6	0	5	-7	6	-3	-16	-8

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Quadratic twists for elliptic curve 16120h1

-4	8	5
32240h1	128960d1	80600c1

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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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