Atkin-Lehner |
2- 3- 5+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330bj |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
1959482016000 = 28 · 310 · 53 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23873,1424081] |
[a1,a2,a3,a4,a6] |
j |
2063954518697161/2687904000 |
j-invariant |
L |
6.6270541040481 |
L(r)(E,1)/r! |
Ω |
0.82838176625572 |
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 |
31110h1 |
Quadratic twists by: -3 |