Atkin-Lehner |
3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
83655m |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8266752 |
Modular degree for the optimal curve |
Δ |
-9.2443756055693E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43851983,111878376302] |
[a1,a2,a3,a4,a6] |
Generators |
[222420:2320837:64] |
Generators of the group modulo torsion |
j |
-1206351073421677/1195803675 |
j-invariant |
L |
2.7867400437871 |
L(r)(E,1)/r! |
Ω |
0.12908108976851 |
Real period |
R |
5.397266276321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999745711 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27885x1 83655bj1 |
Quadratic twists by: -3 13 |