Atkin-Lehner |
2- 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50160bp |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-37378711941120 = -1 · 212 · 38 · 5 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4840,-265680] |
[a1,a2,a3,a4,a6] |
Generators |
[52:352:1] [122:1458:1] |
Generators of the group modulo torsion |
j |
3060624960359/9125662095 |
j-invariant |
L |
8.2381561509631 |
L(r)(E,1)/r! |
Ω |
0.33278253946506 |
Real period |
R |
3.0944217221421 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3135f4 |
Quadratic twists by: -4 |