Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490ca |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
13516800 |
Modular degree for the optimal curve |
Δ |
4104220459887820800 = 216 · 35 · 52 · 117 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-89122855,323803789277] |
[a1,a2,a3,a4,a6] |
Generators |
[1887:401986:1] |
Generators of the group modulo torsion |
j |
44191106172662624762761/2316725452800 |
j-invariant |
L |
10.343908963234 |
L(r)(E,1)/r! |
Ω |
0.18511885843053 |
Real period |
R |
3.4923200973409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007864 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7590h1 |
Quadratic twists by: -11 |