Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
21960u |
Isogeny class |
Conductor |
21960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2325569607705600 = -1 · 210 · 38 · 52 · 614 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32037,715462] |
[a1,a2,a3,a4,a6] |
j |
4871377107356/3115314225 |
j-invariant |
L |
2.2934548514343 |
L(r)(E,1)/r! |
Ω |
0.28668185642929 |
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 |
43920o3 7320g4 109800u3 |
Quadratic twists by: -4 -3 5 |