Atkin-Lehner |
2+ 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88920p |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
18991019531250000 = 24 · 39 · 512 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66882,601481] |
[a1,a2,a3,a4,a6] |
j |
2836638256175104/1628173828125 |
j-invariant |
L |
3.9621455203048 |
L(r)(E,1)/r! |
Ω |
0.33017879635207 |
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 |
29640n1 |
Quadratic twists by: -3 |