Atkin-Lehner |
3- 5+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
50445b |
Isogeny class |
Conductor |
50445 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
26808541245 = 314 · 5 · 19 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-269055,-53649540] |
[a1,a2,a3,a4,a6] |
j |
2954746952222845681/36774405 |
j-invariant |
L |
3.3539701646056 |
L(r)(E,1)/r! |
Ω |
0.20962313538222 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16815e4 |
Quadratic twists by: -3 |