Atkin-Lehner |
2- 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490cd |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-46945881092286000 = -1 · 24 · 32 · 53 · 118 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6769771,-6780250399] |
[a1,a2,a3,a4,a6] |
j |
-160067871234233809/219006000 |
j-invariant |
L |
3.3694461237661 |
L(r)(E,1)/r! |
Ω |
0.046797863732913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83490t2 |
Quadratic twists by: -11 |