Atkin-Lehner |
2- 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040y |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-412528941203456000 = -1 · 227 · 53 · 76 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11+ 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,186104,83696] |
[a1,a2,a3,a4,a6] |
j |
174031776553034231/100715073536000 |
j-invariant |
L |
1.4291495811639 |
L(r)(E,1)/r! |
Ω |
0.17864377783453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14630f2 |
Quadratic twists by: -4 |