Atkin-Lehner |
2- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
90988f |
Isogeny class |
Conductor |
90988 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6918912 |
Modular degree for the optimal curve |
Δ |
-1.4911411731528E+22 |
Discriminant |
Eigenvalues |
2- -1 4 4 0 3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3179114,-5456064307] |
[a1,a2,a3,a4,a6] |
j |
1500219760227584/6295522251503 |
j-invariant |
L |
4.0378620212381 |
L(r)(E,1)/r! |
Ω |
0.063091594988359 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3956b1 |
Quadratic twists by: -23 |