Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cy |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-2318655088848384 = -1 · 29 · 38 · 11 · 137 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11- 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-69998,-7477635] |
[a1,a2,a3,a4,a6] |
j |
-10779215329/658944 |
j-invariant |
L |
5.2646134657452 |
L(r)(E,1)/r! |
Ω |
0.14623926293739 |
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 |
11154b1 2574e1 |
Quadratic twists by: -3 13 |