Atkin-Lehner |
3- 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
108339p |
Isogeny class |
Conductor |
108339 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-3982206764151 = -1 · 38 · 77 · 11 · 67 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3943,11855] |
[a1,a2,a3,a4,a6] |
j |
57646656647/33848199 |
j-invariant |
L |
1.8995638826297 |
L(r)(E,1)/r! |
Ω |
0.47489110319905 |
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 |
15477a1 |
Quadratic twists by: -7 |