Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16650ch |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
46085899218750 = 2 · 313 · 58 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 -5 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-429305,108373947] |
[a1,a2,a3,a4,a6] |
j |
30727911305065/161838 |
j-invariant |
L |
2.2633575688495 |
L(r)(E,1)/r! |
Ω |
0.56583939221237 |
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 |
5550f1 16650s1 |
Quadratic twists by: -3 5 |