Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69966bh |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-48396801688794 = -1 · 2 · 36 · 137 · 232 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 2 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21326,1249863] |
[a1,a2,a3,a4,a6] |
j |
-304821217/13754 |
j-invariant |
L |
5.0364208786344 |
L(r)(E,1)/r! |
Ω |
0.62955261007294 |
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 |
7774a1 5382e1 |
Quadratic twists by: -3 13 |