Atkin-Lehner |
7- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
56693c |
Isogeny class |
Conductor |
56693 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13608 |
Modular degree for the optimal curve |
Δ |
136119893 = 76 · 13 · 89 |
Discriminant |
Eigenvalues |
0 2 0 7- 2 13- 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-163,629] |
[a1,a2,a3,a4,a6] |
j |
4096000/1157 |
j-invariant |
L |
1.7169739879186 |
L(r)(E,1)/r! |
Ω |
1.7169739851503 |
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 |
1157a1 |
Quadratic twists by: -7 |