Atkin-Lehner |
2- 3+ 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782t |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-129673564292876868 = -1 · 22 · 310 · 112 · 173 · 314 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 11- 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,51295,16759811] |
[a1,a2,a3,a4,a6] |
j |
14926166623517485679/129673564292876868 |
j-invariant |
L |
1.9277689921681 |
L(r)(E,1)/r! |
Ω |
0.24097112402067 |
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 |
104346s2 |
Quadratic twists by: -3 |