Atkin-Lehner |
2- 3- 11- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39468l |
Isogeny class |
Conductor |
39468 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-28094427504 = -1 · 24 · 35 · 11 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 -5 11- 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,754,1521] |
[a1,a2,a3,a4,a6] |
Generators |
[13:117:1] [0:39:1] |
Generators of the group modulo torsion |
j |
2958977428736/1755901719 |
j-invariant |
L |
9.1418670572785 |
L(r)(E,1)/r! |
Ω |
0.72123978463301 |
Real period |
R |
0.21125353065788 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118404g1 |
Quadratic twists by: -3 |