Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640di |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
12228165389520 = 24 · 32 · 5 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7701,-200970] |
[a1,a2,a3,a4,a6] |
j |
67108864/16245 |
j-invariant |
L |
4.1488991804764 |
L(r)(E,1)/r! |
Ω |
0.51861239933027 |
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 |
21660h1 4560p1 |
Quadratic twists by: -4 -19 |