Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79560bm |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
7187845813200 = 24 · 314 · 52 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-282018,-57645083] |
[a1,a2,a3,a4,a6] |
j |
212670222886967296/616241925 |
j-invariant |
L |
1.6573735517873 |
L(r)(E,1)/r! |
Ω |
0.20717169681374 |
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 |
26520i1 |
Quadratic twists by: -3 |