Atkin-Lehner |
2+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127160c |
Isogeny class |
Conductor |
127160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-4967187500000000 = -1 · 28 · 514 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 11- -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16479,-3297179] |
[a1,a2,a3,a4,a6] |
j |
6688860068864/67138671875 |
j-invariant |
L |
1.7056616002443 |
L(r)(E,1)/r! |
Ω |
0.21320750862523 |
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 |
127160f1 |
Quadratic twists by: 17 |