Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67518bq |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
189915794172791676 = 22 · 310 · 1110 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-744899,246750023] |
[a1,a2,a3,a4,a6] |
j |
35394167353537/147054204 |
j-invariant |
L |
2.5638972776032 |
L(r)(E,1)/r! |
Ω |
0.32048715944188 |
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 |
22506m3 6138d3 |
Quadratic twists by: -3 -11 |