Atkin-Lehner |
2- 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
67620k |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
39584160 |
Modular degree for the optimal curve |
Δ |
5.989558947129E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-487942310,-1829073298275] |
[a1,a2,a3,a4,a6] |
j |
139291573340166716336896/64936748761242890625 |
j-invariant |
L |
3.5281265687922 |
L(r)(E,1)/r! |
Ω |
0.033601205422904 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67620bf1 |
Quadratic twists by: -7 |