Atkin-Lehner |
2+ 5+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56050a |
Isogeny class |
Conductor |
56050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
-35529049331200 = -1 · 29 · 52 · 196 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 4 -2 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5818,228916] |
[a1,a2,a3,a4,a6] |
j |
871089672300255/1421161973248 |
j-invariant |
L |
0.8905319127259 |
L(r)(E,1)/r! |
Ω |
0.44526595560774 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56050o1 |
Quadratic twists by: 5 |