Atkin-Lehner |
3+ 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50325l |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-754875 = -1 · 32 · 53 · 11 · 61 |
Discriminant |
Eigenvalues |
-2 3+ 5- 2 11+ 7 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,22,8] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-8:1] |
Generators of the group modulo torsion |
j |
8998912/6039 |
j-invariant |
L |
2.9985585918734 |
L(r)(E,1)/r! |
Ω |
1.7869656539942 |
Real period |
R |
0.41950422846912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50325bb1 |
Quadratic twists by: 5 |