Atkin-Lehner |
2+ 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490v |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-562293461400000 = -1 · 26 · 3 · 55 · 116 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16211,820136] |
[a1,a2,a3,a4,a6] |
j |
265971760991/317400000 |
j-invariant |
L |
0.69264816572904 |
L(r)(E,1)/r! |
Ω |
0.34632407106252 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
690i1 |
Quadratic twists by: -11 |