Atkin-Lehner |
2- 3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
93060k |
Isogeny class |
Conductor |
93060 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-659411992800000 = -1 · 28 · 313 · 55 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32088,2533988] |
[a1,a2,a3,a4,a6] |
j |
-19578714136576/3533371875 |
j-invariant |
L |
2.9485204986617 |
L(r)(E,1)/r! |
Ω |
0.49142007869339 |
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 |
31020g1 |
Quadratic twists by: -3 |