Atkin-Lehner |
2+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
90304j |
Isogeny class |
Conductor |
90304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-739770368 = -1 · 219 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 1 -4 0 -3 -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,-1921] |
[a1,a2,a3,a4,a6] |
Generators |
[19:32:1] |
Generators of the group modulo torsion |
j |
-4826809/2822 |
j-invariant |
L |
2.6534080247827 |
L(r)(E,1)/r! |
Ω |
0.59999048585403 |
Real period |
R |
1.1056042108158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999786849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90304t1 2822b1 |
Quadratic twists by: -4 8 |