Atkin-Lehner |
2+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17600y |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-352000000000 = -1 · 214 · 59 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1167,-24463] |
[a1,a2,a3,a4,a6] |
j |
5488/11 |
j-invariant |
L |
0.99895583153889 |
L(r)(E,1)/r! |
Ω |
0.49947791576944 |
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 |
17600dj1 2200d1 17600bb1 |
Quadratic twists by: -4 8 5 |