Atkin-Lehner |
2+ 3- 11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782i |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
3106165049856 = 29 · 32 · 113 · 17 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 11+ 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15797,-760768] |
[a1,a2,a3,a4,a6] |
j |
435921255701835337/3106165049856 |
j-invariant |
L |
2.55621254287 |
L(r)(E,1)/r! |
Ω |
0.42603542381122 |
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 |
104346bz2 |
Quadratic twists by: -3 |