Atkin-Lehner |
2- 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160bl |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1235139840000000000 = 217 · 35 · 510 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7279280,-7556670528] |
[a1,a2,a3,a4,a6] |
j |
10414276373665867414321/301547812500000 |
j-invariant |
L |
1.8382653178021 |
L(r)(E,1)/r! |
Ω |
0.091913265915041 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270r2 |
Quadratic twists by: -4 |