Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136c |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-90700760537856 = -1 · 28 · 311 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 1 -3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1068,458012] |
[a1,a2,a3,a4,a6] |
j |
721888256/486008019 |
j-invariant |
L |
1.8810669297676 |
L(r)(E,1)/r! |
Ω |
0.47026673244191 |
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 |
8568e1 68544dk1 5712a1 119952bf1 |
Quadratic twists by: -4 8 -3 -7 |