Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462bu |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
12146706 = 2 · 33 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 11+ 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-71,173] |
[a1,a2,a3,a4,a6] |
j |
8560539/2662 |
j-invariant |
L |
4.1752263046166 |
L(r)(E,1)/r! |
Ω |
2.0876131523105 |
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 |
33462p2 33462o1 |
Quadratic twists by: -3 13 |