Atkin-Lehner |
2- 3+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650cb |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
165888000 |
Modular degree for the optimal curve |
Δ |
7.964388970453E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8380987088,295002851535281] |
[a1,a2,a3,a4,a6] |
j |
4166670912369504728113463414329/5097208941089898209280000 |
j-invariant |
L |
4.9231707307269 |
L(r)(E,1)/r! |
Ω |
0.034188685532118 |
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 |
13530g1 |
Quadratic twists by: 5 |