Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600cd |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
9289728 |
Modular degree for the optimal curve |
Δ |
-8.145637478E+21 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 11- -5 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-817675,4351624250] |
[a1,a2,a3,a4,a6] |
j |
-944682558225561/127275585593750 |
j-invariant |
L |
6.8747616336721 |
L(r)(E,1)/r! |
Ω |
0.10741815079621 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10450v1 16720bk1 |
Quadratic twists by: -4 5 |