Atkin-Lehner |
2- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89908c |
Isogeny class |
Conductor |
89908 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5588352 |
Modular degree for the optimal curve |
Δ |
-7.431584839882E+21 |
Discriminant |
Eigenvalues |
2- 0 -4 7+ 2 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1124357,-4172926875] |
[a1,a2,a3,a4,a6] |
j |
-2035430602516224/96227974318567 |
j-invariant |
L |
1.3891492002255 |
L(r)(E,1)/r! |
Ω |
0.057881217460055 |
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 |
6916f1 |
Quadratic twists by: 13 |