Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
33282bc |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
2377869209964036 = 22 · 37 · 437 |
Discriminant |
Eigenvalues |
2- 3- 2 2 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33629,368673] |
[a1,a2,a3,a4,a6] |
j |
912673/516 |
j-invariant |
L |
7.1225575427608 |
L(r)(E,1)/r! |
Ω |
0.39569764126472 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11094f1 774e1 |
Quadratic twists by: -3 -43 |