Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18590l |
Isogeny class |
Conductor |
18590 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
8580096 |
Modular degree for the optimal curve |
Δ |
-1.7740243043407E+27 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 11- 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-180800006,-2232139199997] |
[a1,a2,a3,a4,a6] |
Generators |
[273889:143020927:1] |
Generators of the group modulo torsion |
j |
-135412551115258010417641/367535633653760000000 |
j-invariant |
L |
5.3992507903159 |
L(r)(E,1)/r! |
Ω |
0.019109914788034 |
Real period |
R |
7.4351742898689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92950j1 1430b1 |
Quadratic twists by: 5 13 |