Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31950r |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
108546490368000000 = 227 · 36 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 6 5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-590892,-173959984] |
[a1,a2,a3,a4,a6] |
j |
2003092024307193/9529458688 |
j-invariant |
L |
3.1004114984837 |
L(r)(E,1)/r! |
Ω |
0.17224508324909 |
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 |
3550o1 1278i1 |
Quadratic twists by: -3 5 |