Atkin-Lehner |
2+ 11+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
66352b |
Isogeny class |
Conductor |
66352 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
123840 |
Modular degree for the optimal curve |
Δ |
-7931087006128 = -1 · 24 · 11 · 133 · 295 |
Discriminant |
Eigenvalues |
2+ 2 -2 3 11+ 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4081,-92422] |
[a1,a2,a3,a4,a6] |
j |
469674617980928/495692937883 |
j-invariant |
L |
2.0015545826506 |
L(r)(E,1)/r! |
Ω |
0.40031091571569 |
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 |
33176c1 |
Quadratic twists by: -4 |