Atkin-Lehner |
2- 3+ 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
34362f |
Isogeny class |
Conductor |
34362 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
38856061507857408 = 210 · 39 · 234 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-172154,25848505] |
[a1,a2,a3,a4,a6] |
j |
28666944695850651/1974092440576 |
j-invariant |
L |
7.1405282192144 |
L(r)(E,1)/r! |
Ω |
0.35702641096067 |
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 |
34362b2 |
Quadratic twists by: -3 |