Atkin-Lehner |
2+ 3- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6882g |
Isogeny class |
Conductor |
6882 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-4505860375621632 = -1 · 212 · 36 · 313 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 0 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36391,-4194646] |
[a1,a2,a3,a4,a6] |
j |
-5329525276894443625/4505860375621632 |
j-invariant |
L |
2.0025271152789 |
L(r)(E,1)/r! |
Ω |
0.16687725960658 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55056m2 20646w2 |
Quadratic twists by: -4 -3 |