Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462j |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
45213774232543488 = 28 · 39 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-201057,-33107203] |
[a1,a2,a3,a4,a6] |
j |
9460870875/475904 |
j-invariant |
L |
1.8093153093196 |
L(r)(E,1)/r! |
Ω |
0.22616441366543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33462bo1 2574r1 |
Quadratic twists by: -3 13 |