Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1122l |
Isogeny class |
Conductor |
1122 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-181908738 = -1 · 2 · 32 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-188,1170] |
[a1,a2,a3,a4,a6] |
j |
-735091890625/181908738 |
j-invariant |
L |
3.4291476090163 |
L(r)(E,1)/r! |
Ω |
1.7145738045081 |
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 |
8976l2 35904b2 3366d2 28050o2 |
Quadratic twists by: -4 8 -3 5 |