Atkin-Lehner |
2- 7- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
16898k |
Isogeny class |
Conductor |
16898 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-37620621942848 = -1 · 26 · 73 · 176 · 71 |
Discriminant |
Eigenvalues |
2- 1 0 7- -3 5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8267,58849] |
[a1,a2,a3,a4,a6] |
j |
62483340760643375/37620621942848 |
j-invariant |
L |
4.7757862069714 |
L(r)(E,1)/r! |
Ω |
0.39798218391428 |
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 |
118286l1 |
Quadratic twists by: -7 |