Atkin-Lehner |
2+ 3- 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782m |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-534157705433088 = -1 · 212 · 34 · 11 · 173 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-108376,-13786330] |
[a1,a2,a3,a4,a6] |
j |
-140772331978053765625/534157705433088 |
j-invariant |
L |
3.1568166802029 |
L(r)(E,1)/r! |
Ω |
0.13153402834122 |
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 |
104346bt2 |
Quadratic twists by: -3 |