Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69192bj |
Isogeny class |
Conductor |
69192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.6519929418387E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2211261,-6052994962] |
[a1,a2,a3,a4,a6] |
j |
1804870652/24935067 |
j-invariant |
L |
4.3594332908424 |
L(r)(E,1)/r! |
Ω |
0.06054768439973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23064b3 2232k4 |
Quadratic twists by: -3 -31 |