Atkin-Lehner |
2+ 3- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16770k |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
558105600 = 210 · 3 · 52 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 6 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-508,-4294] |
[a1,a2,a3,a4,a6] |
j |
14457238157881/558105600 |
j-invariant |
L |
2.016496787367 |
L(r)(E,1)/r! |
Ω |
1.0082483936835 |
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 |
50310ca1 83850br1 |
Quadratic twists by: -3 5 |