Atkin-Lehner |
2+ 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
116280n |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
33583081146220800 = 28 · 38 · 52 · 17 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93783,6667882] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:2808:1] |
Generators of the group modulo torsion |
j |
488797056521296/179950494825 |
j-invariant |
L |
5.4026251528575 |
L(r)(E,1)/r! |
Ω |
0.3369972403514 |
Real period |
R |
4.0079150127032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999921301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760ba1 |
Quadratic twists by: -3 |