Atkin-Lehner |
2+ 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59774a |
Isogeny class |
Conductor |
59774 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
160512 |
Modular degree for the optimal curve |
Δ |
-177053576221808 = -1 · 24 · 119 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 11+ 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33358,-2422524] |
[a1,a2,a3,a4,a6] |
j |
-1740992427/75088 |
j-invariant |
L |
0.35237458009946 |
L(r)(E,1)/r! |
Ω |
0.17618729043441 |
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 |
59774j1 |
Quadratic twists by: -11 |