Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525br |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
21580519447265625 = 34 · 59 · 7 · 117 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-615651,-185846927] |
[a1,a2,a3,a4,a6] |
j |
932288503609/779625 |
j-invariant |
L |
2.7271421509194 |
L(r)(E,1)/r! |
Ω |
0.17044638476621 |
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 |
12705b1 5775p1 |
Quadratic twists by: 5 -11 |