Atkin-Lehner |
2- 3- 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558bh |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-458407631292912 = -1 · 24 · 316 · 72 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5118,1020852] |
[a1,a2,a3,a4,a6] |
j |
14825838099649247/458407631292912 |
j-invariant |
L |
6.3532807486038 |
L(r)(E,1)/r! |
Ω |
0.39708004678772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100674g1 |
Quadratic twists by: -3 |