Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464g |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
42961218048 = 29 · 310 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2595,-49894] |
[a1,a2,a3,a4,a6] |
j |
5177717000/115101 |
j-invariant |
L |
1.3396236328877 |
L(r)(E,1)/r! |
Ω |
0.66981181811477 |
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 |
58464k2 116928dr2 19488d2 |
Quadratic twists by: -4 8 -3 |