Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80586l |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
3.0185404263338E+23 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40233672,94613889024] |
[a1,a2,a3,a4,a6] |
j |
5577108481460841625/233729407061568 |
j-invariant |
L |
1.5377750175936 |
L(r)(E,1)/r! |
Ω |
0.096110940326808 |
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 |
26862x1 7326m1 |
Quadratic twists by: -3 -11 |