Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34272j |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
123729789399552 = 29 · 310 · 72 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-381891,-90834266] |
[a1,a2,a3,a4,a6] |
j |
16502300582616584/331494849 |
j-invariant |
L |
0.76820161096849 |
L(r)(E,1)/r! |
Ω |
0.19205040274393 |
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 |
34272q4 68544dn4 11424u3 |
Quadratic twists by: -4 8 -3 |