Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848ca |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
82653950016 = 26 · 36 · 116 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1089,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
1.825766531329 |
L(r)(E,1)/r! |
Ω |
0.9128832656642 |
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 |
34848ca1 69696gm2 3872b1 288d1 |
Quadratic twists by: -4 8 -3 -11 |