Atkin-Lehner |
2- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344ck |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
5553856 = 26 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 11+ 7 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,-98] |
[a1,a2,a3,a4,a6] |
j |
308915776/86779 |
j-invariant |
L |
1.7797123706773 |
L(r)(E,1)/r! |
Ω |
1.7797128606281 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344ek1 56672d1 |
Quadratic twists by: -4 8 |