Atkin-Lehner |
2- 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98838bk |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
4749126024329183232 = 214 · 37 · 178 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-781655,244652015] |
[a1,a2,a3,a4,a6] |
j |
3001563015625/269893632 |
j-invariant |
L |
6.6534133693725 |
L(r)(E,1)/r! |
Ω |
0.23762191096885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32946j1 5814s1 |
Quadratic twists by: -3 17 |