Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
47600bb |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8381499392000000 = 217 · 56 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51408,869312] |
[a1,a2,a3,a4,a6] |
j |
234770924809/130960928 |
j-invariant |
L |
5.7279704839894 |
L(r)(E,1)/r! |
Ω |
0.35799815528944 |
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 |
5950n2 1904b2 |
Quadratic twists by: -4 5 |