Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360bx |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1572864 |
Modular degree for the optimal curve |
Δ |
-4610560118520545280 = -1 · 250 · 32 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1392641,640483935] |
[a1,a2,a3,a4,a6] |
j |
-1139466686381936641/17587891077120 |
j-invariant |
L |
1.9606143943063 |
L(r)(E,1)/r! |
Ω |
0.24507679764328 |
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 |
87360eo1 2730v1 |
Quadratic twists by: -4 8 |