Atkin-Lehner |
2+ 5+ 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
16330b |
Isogeny class |
Conductor |
16330 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4176 |
Modular degree for the optimal curve |
Δ |
8638570 = 2 · 5 · 233 · 71 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 0 -4 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-179,892] |
[a1,a2,a3,a4,a6] |
j |
629202484009/8638570 |
j-invariant |
L |
0.77570924368321 |
L(r)(E,1)/r! |
Ω |
2.3271277310496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
81650l1 |
Quadratic twists by: 5 |