Atkin-Lehner |
3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
67725z |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2236416 |
Modular degree for the optimal curve |
Δ |
32805064072265625 = 313 · 510 · 72 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21601917,38649798616] |
[a1,a2,a3,a4,a6] |
j |
97870779730288961929/2880005625 |
j-invariant |
L |
4.3242680575979 |
L(r)(E,1)/r! |
Ω |
0.27026675314099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22575g1 13545j1 |
Quadratic twists by: -3 5 |