Atkin-Lehner |
3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
83655bj |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
635904 |
Modular degree for the optimal curve |
Δ |
-1915214711327775 = -1 · 39 · 52 · 116 · 133 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11- 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-259479,50983128] |
[a1,a2,a3,a4,a6] |
Generators |
[292:74:1] |
Generators of the group modulo torsion |
j |
-1206351073421677/1195803675 |
j-invariant |
L |
10.703621323689 |
L(r)(E,1)/r! |
Ω |
0.46540848785314 |
Real period |
R |
1.9165280970961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27885q1 83655m1 |
Quadratic twists by: -3 13 |