Atkin-Lehner |
2- 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350ca |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-161648437500 = -1 · 22 · 32 · 59 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,687,18117] |
[a1,a2,a3,a4,a6] |
j |
2294744759/10345500 |
j-invariant |
L |
5.8583394744525 |
L(r)(E,1)/r! |
Ω |
0.73229243430718 |
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 |
94050l1 6270f1 |
Quadratic twists by: -3 5 |