Atkin-Lehner |
2- 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
91080bk |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
-215833323221809920 = -1 · 28 · 39 · 5 · 113 · 235 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4773708,-4014566172] |
[a1,a2,a3,a4,a6] |
j |
-2387591397806312448/42833862665 |
j-invariant |
L |
3.0641243400878 |
L(r)(E,1)/r! |
Ω |
0.051068738370209 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91080d1 |
Quadratic twists by: -3 |