Atkin-Lehner |
2- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
117670q |
Isogeny class |
Conductor |
117670 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
319872 |
Modular degree for the optimal curve |
Δ |
-24725408750000 = -1 · 24 · 57 · 7 · 414 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 1 -1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5568,176531] |
[a1,a2,a3,a4,a6] |
Generators |
[31:599:1] |
Generators of the group modulo torsion |
j |
6757080399/8750000 |
j-invariant |
L |
11.809528837348 |
L(r)(E,1)/r! |
Ω |
0.45201089034903 |
Real period |
R |
0.31103150846247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117670p1 |
Quadratic twists by: 41 |