Atkin-Lehner |
2+ 3- 11- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
77418j |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-76394948250222162 = -1 · 2 · 310 · 114 · 174 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8226,-13299170] |
[a1,a2,a3,a4,a6] |
j |
-84448510979617/104794167695778 |
j-invariant |
L |
2.4866300987191 |
L(r)(E,1)/r! |
Ω |
0.15541438005999 |
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 |
25806h3 |
Quadratic twists by: -3 |