Atkin-Lehner |
3+ 5- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
18105d |
Isogeny class |
Conductor |
18105 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-488835 = -1 · 34 · 5 · 17 · 71 |
Discriminant |
Eigenvalues |
2 3+ 5- -2 1 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,20,-9] |
[a1,a2,a3,a4,a6] |
j |
841232384/488835 |
j-invariant |
L |
3.4908984292302 |
L(r)(E,1)/r! |
Ω |
1.7454492146151 |
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 |
54315g1 90525o1 |
Quadratic twists by: -3 5 |