Atkin-Lehner |
2- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
68672bf |
Isogeny class |
Conductor |
68672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7123850887168 = -1 · 217 · 29 · 374 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3124,-109424] |
[a1,a2,a3,a4,a6] |
j |
25724495214/54350669 |
j-invariant |
L |
0.77555455350541 |
L(r)(E,1)/r! |
Ω |
0.3877772691924 |
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 |
68672m3 17168a4 |
Quadratic twists by: -4 8 |