Atkin-Lehner |
3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33327o |
Isogeny class |
Conductor |
33327 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1554432 |
Modular degree for the optimal curve |
Δ |
-2.0684272483052E+22 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2520850,-6746521084] |
[a1,a2,a3,a4,a6] |
j |
1349232625/15752961 |
j-invariant |
L |
0.47719877541328 |
L(r)(E,1)/r! |
Ω |
0.0596498469255 |
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 |
11109g1 33327i1 |
Quadratic twists by: -3 -23 |