Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69966bf |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
603098605660356 = 22 · 310 · 136 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25889,-1077267] |
[a1,a2,a3,a4,a6] |
j |
545338513/171396 |
j-invariant |
L |
6.1707585317581 |
L(r)(E,1)/r! |
Ω |
0.38567240809966 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23322b2 414c2 |
Quadratic twists by: -3 13 |