Atkin-Lehner |
2+ 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328q |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-1774932077568 = -1 · 210 · 3 · 132 · 434 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1789,-71005] |
[a1,a2,a3,a4,a6] |
j |
-618724784128/1733332107 |
j-invariant |
L |
0.68051711634038 |
L(r)(E,1)/r! |
Ω |
0.34025849886596 |
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 |
107328bp1 13416a1 |
Quadratic twists by: -4 8 |