Atkin-Lehner |
2+ 5- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950v |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1425600 |
Modular degree for the optimal curve |
Δ |
1.09680787456E+20 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 2 -4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1291200,254464000] |
[a1,a2,a3,a4,a6] |
j |
121891873079272661/56156563177472 |
j-invariant |
L |
0.33615334350432 |
L(r)(E,1)/r! |
Ω |
0.16807667333122 |
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 |
57950bs1 |
Quadratic twists by: 5 |