Atkin-Lehner |
2- 3- 11- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59202bd |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
4320 |
Product of Tamagawa factors cp |
deg |
12026880 |
Modular degree for the optimal curve |
Δ |
-9.3768404620813E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,48255010,71115489901] |
[a1,a2,a3,a4,a6] |
Generators |
[47737:10519235:1] |
Generators of the group modulo torsion |
j |
17046036816896319542166375/12862606943870064263168 |
j-invariant |
L |
9.6397810730092 |
L(r)(E,1)/r! |
Ω |
0.046611719148638 |
Real period |
R |
0.19149096790765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6578a1 |
Quadratic twists by: -3 |