Atkin-Lehner |
2- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77924a |
Isogeny class |
Conductor |
77924 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5410944 |
Modular degree for the optimal curve |
Δ |
1.4386893339413E+22 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 11+ 7 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20688620,-35763952204] |
[a1,a2,a3,a4,a6] |
j |
1622348567321456/23833778129 |
j-invariant |
L |
3.542607925596 |
L(r)(E,1)/r! |
Ω |
0.070852159826367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77924m1 |
Quadratic twists by: -11 |