Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032bo |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
108174588103959552 = 210 · 39 · 710 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-181251,-25134354] |
[a1,a2,a3,a4,a6] |
j |
277706124/45619 |
j-invariant |
L |
0.93583847788263 |
L(r)(E,1)/r! |
Ω |
0.23395962002724 |
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 |
67032f1 9576n1 |
Quadratic twists by: -3 -7 |