Atkin-Lehner |
2- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800cl |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2275409920000 = -1 · 224 · 54 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -4 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3192,-22288] |
[a1,a2,a3,a4,a6] |
j |
1404547175/888832 |
j-invariant |
L |
2.8260868945468 |
L(r)(E,1)/r! |
Ω |
0.47101449093583 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850q1 86800cg1 |
Quadratic twists by: -4 5 |