Atkin-Lehner |
2+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17776c |
Isogeny class |
Conductor |
17776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
3128576 = 28 · 112 · 101 |
Discriminant |
Eigenvalues |
2+ 2 -1 4 11- -1 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41,-43] |
[a1,a2,a3,a4,a6] |
j |
30505984/12221 |
j-invariant |
L |
3.898614352183 |
L(r)(E,1)/r! |
Ω |
1.9493071760915 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8888a1 71104n1 |
Quadratic twists by: -4 8 |