Atkin-Lehner |
2- 7+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
16898f |
Isogeny class |
Conductor |
16898 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
2467596150505472 = 234 · 7 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 2 0 7+ -2 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46683,-3078871] |
[a1,a2,a3,a4,a6] |
j |
11251244589515736625/2467596150505472 |
j-invariant |
L |
5.6077595235465 |
L(r)(E,1)/r! |
Ω |
0.32986820726744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118286y1 |
Quadratic twists by: -7 |