Atkin-Lehner |
2- 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410bb |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
906802633440000 = 28 · 38 · 54 · 114 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4078080023,-100236827241169] |
[a1,a2,a3,a4,a6] |
j |
10288768945476284932223510251561/1243899360000 |
j-invariant |
L |
4.8364375444812 |
L(r)(E,1)/r! |
Ω |
0.018892334168587 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470q3 |
Quadratic twists by: -3 |