Atkin-Lehner |
2- 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89570p |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16982784 |
Modular degree for the optimal curve |
Δ |
-1.3889803928304E+24 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 3 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27876969,2403495145] |
[a1,a2,a3,a4,a6] |
j |
496363974855285405959/287763694985728000 |
j-invariant |
L |
1.2314678779747 |
L(r)(E,1)/r! |
Ω |
0.051311154604396 |
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 |
6890g1 |
Quadratic twists by: 13 |