Atkin-Lehner |
3- 5+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
69165k |
Isogeny class |
Conductor |
69165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
55337612393925 = 310 · 52 · 294 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5151758,4502000256] |
[a1,a2,a3,a4,a6] |
j |
20742565362775409536921/75908933325 |
j-invariant |
L |
0.83998647695368 |
L(r)(E,1)/r! |
Ω |
0.4199932345398 |
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 |
23055e4 |
Quadratic twists by: -3 |