Atkin-Lehner |
2+ 3- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
127794y |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
10948608 |
Modular degree for the optimal curve |
Δ |
2.2915261333046E+20 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 -4 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8487479,9488736794] |
[a1,a2,a3,a4,a6] |
j |
1437269372537979889/4870832652288 |
j-invariant |
L |
3.1915140068916 |
L(r)(E,1)/r! |
Ω |
0.17730632397526 |
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 |
354e1 |
Quadratic twists by: -19 |