Atkin-Lehner |
2- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
69680l |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
77684838400 = 212 · 52 · 132 · 672 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1843,-27342] |
[a1,a2,a3,a4,a6] |
j |
169020650889/18966025 |
j-invariant |
L |
1.4679298910479 |
L(r)(E,1)/r! |
Ω |
0.73396494420846 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4355a2 |
Quadratic twists by: -4 |