Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856br |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3709440 |
Modular degree for the optimal curve |
Δ |
-1.3900430535156E+21 |
Discriminant |
Eigenvalues |
2- 3 -2 2 4 -4 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21267916,37794206096] |
[a1,a2,a3,a4,a6] |
Generators |
[28219158930:-3058396270336:2146689] |
Generators of the group modulo torsion |
j |
-97967097/128 |
j-invariant |
L |
9.6217408848724 |
L(r)(E,1)/r! |
Ω |
0.15158783330893 |
Real period |
R |
15.868260458054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33856w1 8464r1 33856bq1 |
Quadratic twists by: -4 8 -23 |