Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
83232v |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-105212405952 = -1 · 26 · 39 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 5 -2 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6069,182648] |
[a1,a2,a3,a4,a6] |
Generators |
[49:54:1] |
Generators of the group modulo torsion |
j |
-6344128/27 |
j-invariant |
L |
9.2689377420597 |
L(r)(E,1)/r! |
Ω |
1.0646630487996 |
Real period |
R |
1.0882477980259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83232w1 27744v1 83232p1 |
Quadratic twists by: -4 -3 17 |