Atkin-Lehner |
3+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
33969b |
Isogeny class |
Conductor |
33969 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-1.309807753918E+20 |
Discriminant |
Eigenvalues |
-1 3+ -2 -2 5 13+ 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1219416,186432462] |
[a1,a2,a3,a4,a6] |
j |
41545045924015607/27136100763837 |
j-invariant |
L |
0.69424255633594 |
L(r)(E,1)/r! |
Ω |
0.11570709272287 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101907i1 2613b1 |
Quadratic twists by: -3 13 |