Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018s |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
180956160 |
Modular degree for the optimal curve |
Δ |
9.403504704569E+23 |
Discriminant |
Eigenvalues |
2- 0 3 3 11- -5 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18598531051,976265961994579] |
[a1,a2,a3,a4,a6] |
j |
2712917065234165678953/3585639464 |
j-invariant |
L |
6.0780539557006 |
L(r)(E,1)/r! |
Ω |
0.056278283101895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638h1 5566h1 |
Quadratic twists by: -11 -23 |