Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50160o |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
105799487035545600 = 211 · 3 · 52 · 114 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1862616,-978933516] |
[a1,a2,a3,a4,a6] |
Generators |
[5780:425898:1] |
Generators of the group modulo torsion |
j |
348950625184401042098/51659905779075 |
j-invariant |
L |
6.5117142538855 |
L(r)(E,1)/r! |
Ω |
0.12923274256133 |
Real period |
R |
6.2984369564686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080a2 |
Quadratic twists by: -4 |