Atkin-Lehner |
2+ 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770bm |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
8614116413760 = 26 · 3 · 5 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 11- 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12847553,-17725763404] |
[a1,a2,a3,a4,a6] |
j |
287500165445643241/10560 |
j-invariant |
L |
4.3061406822973 |
L(r)(E,1)/r! |
Ω |
0.079743345945325 |
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 |
55770cn2 |
Quadratic twists by: 13 |