Atkin-Lehner |
2- 3- 11- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77418z |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
31070546217216 = 28 · 38 · 112 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9869,-262987] |
[a1,a2,a3,a4,a6] |
j |
145805657120137/42620776704 |
j-invariant |
L |
7.8357379751933 |
L(r)(E,1)/r! |
Ω |
0.48973362297966 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25806f2 |
Quadratic twists by: -3 |