Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162bm |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
214167672878148 = 22 · 33 · 119 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17084,497115] |
[a1,a2,a3,a4,a6] |
Generators |
[16854:763549:8] |
Generators of the group modulo torsion |
j |
11527859979/4477484 |
j-invariant |
L |
13.005162176971 |
L(r)(E,1)/r! |
Ω |
0.51129016568179 |
Real period |
R |
3.179496460638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162k1 5742d1 |
Quadratic twists by: -3 -11 |