Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600gs |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
19456203375000000 = 26 · 33 · 59 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-132508,17266238] |
[a1,a2,a3,a4,a6] |
j |
257307998572864/19456203375 |
j-invariant |
L |
4.5285107414136 |
L(r)(E,1)/r! |
Ω |
0.37737589511774 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600ep1 16800bj3 100800nw1 6720bp1 |
Quadratic twists by: -4 8 -3 5 |