Atkin-Lehner |
2+ 3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
116178b |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
84457547031552 = 210 · 3 · 177 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17490,765492] |
[a1,a2,a3,a4,a6] |
j |
24515367625/3499008 |
j-invariant |
L |
1.1655455810989 |
L(r)(E,1)/r! |
Ω |
0.58277290824593 |
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 |
6834d1 |
Quadratic twists by: 17 |