Atkin-Lehner |
2- 7- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
16898j |
Isogeny class |
Conductor |
16898 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
4928 |
Modular degree for the optimal curve |
Δ |
138428416 = 214 · 7 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-219,1163] |
[a1,a2,a3,a4,a6] |
Generators |
[19:50:1] |
Generators of the group modulo torsion |
j |
1156633033473/138428416 |
j-invariant |
L |
8.5545652212187 |
L(r)(E,1)/r! |
Ω |
1.7790700266302 |
Real period |
R |
1.3738422069908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118286t1 |
Quadratic twists by: -7 |