Atkin-Lehner |
2- 3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320z |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-14907917901312000 = -1 · 212 · 35 · 53 · 173 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-301781,64180125] |
[a1,a2,a3,a4,a6] |
j |
-742063180122947584/3639628393875 |
j-invariant |
L |
0.39633106195288 |
L(r)(E,1)/r! |
Ω |
0.39633114724125 |
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 |
7395f2 |
Quadratic twists by: -4 |