Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
34272u |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-47135157866496 = -1 · 212 · 39 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5604,288160] |
[a1,a2,a3,a4,a6] |
j |
6518244032/15785469 |
j-invariant |
L |
1.7775483754636 |
L(r)(E,1)/r! |
Ω |
0.44438709386471 |
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 |
34272bh2 68544cn1 11424v4 |
Quadratic twists by: -4 8 -3 |