Atkin-Lehner |
2+ 3+ 5+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
122550d |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.31804125E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-724837171525,-237525013403901875] |
[a1,a2,a3,a4,a6] |
j |
2695411376533589106170675619466398289/2123546400000000 |
j-invariant |
L |
2.028268244654 |
L(r)(E,1)/r! |
Ω |
0.0051741550700335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24510q4 |
Quadratic twists by: 5 |