Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7176o |
Isogeny class |
Conductor |
7176 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-1.6670181548102E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3080532,2089294272] |
[a1,a2,a3,a4,a6] |
j |
-12628770220528167730768/65117896672272327 |
j-invariant |
L |
3.5331733161168 |
L(r)(E,1)/r! |
Ω |
0.2208233322573 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14352i1 57408h1 21528h1 93288o1 |
Quadratic twists by: -4 8 -3 13 |