Atkin-Lehner |
2- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
76582c |
Isogeny class |
Conductor |
76582 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3452160 |
Modular degree for the optimal curve |
Δ |
-1.6771559904916E+19 |
Discriminant |
Eigenvalues |
2- 1 3 5 11- 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-892949,-379948783] |
[a1,a2,a3,a4,a6] |
j |
-1866773548297/397613744 |
j-invariant |
L |
11.056070370285 |
L(r)(E,1)/r! |
Ω |
0.076778266510241 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1298a1 |
Quadratic twists by: -59 |