Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69966bd |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-4.0840369161323E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,109480,-307181221] |
[a1,a2,a3,a4,a6] |
j |
41242421375/11606519808 |
j-invariant |
L |
4.5978330116039 |
L(r)(E,1)/r! |
Ω |
0.095788187733254 |
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 |
23322h1 5382f1 |
Quadratic twists by: -3 13 |