Atkin-Lehner |
2- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
55664w |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-3831991697408 = -1 · 216 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 1 0 7- 5 -5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,94100] |
[a1,a2,a3,a4,a6] |
j |
-15625/7952 |
j-invariant |
L |
2.5449423282169 |
L(r)(E,1)/r! |
Ω |
0.63623558252571 |
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 |
6958c1 7952i1 |
Quadratic twists by: -4 -7 |