Atkin-Lehner |
2- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
57950bi |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6716405000000 = 26 · 57 · 192 · 612 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -4 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-42063,3314617] |
[a1,a2,a3,a4,a6] |
Generators |
[92:429:1] |
Generators of the group modulo torsion |
j |
526750629751081/429849920 |
j-invariant |
L |
5.7275064675209 |
L(r)(E,1)/r! |
Ω |
0.74380298991138 |
Real period |
R |
0.32084585036655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11590c2 |
Quadratic twists by: 5 |