Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69312ci |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
1006675439910912 = 226 · 37 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -2 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61889,5746785] |
[a1,a2,a3,a4,a6] |
j |
14580432307/559872 |
j-invariant |
L |
0.97911104524858 |
L(r)(E,1)/r! |
Ω |
0.4895555149052 |
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 |
69312bh1 17328bc1 69312de1 |
Quadratic twists by: -4 8 -19 |