Atkin-Lehner |
2- 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160bk |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-122504669199052800 = -1 · 212 · 3 · 52 · 115 · 195 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4567685,3759003117] |
[a1,a2,a3,a4,a6] |
j |
-2573074125787029999616/29908366503675 |
j-invariant |
L |
3.0028907600342 |
L(r)(E,1)/r! |
Ω |
0.30028907595548 |
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 |
3135h2 |
Quadratic twists by: -4 |