Atkin-Lehner |
2- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5704a |
Isogeny class |
Conductor |
5704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-43501533184 = -1 · 211 · 23 · 314 |
Discriminant |
Eigenvalues |
2- 0 2 4 -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,661,-7610] |
[a1,a2,a3,a4,a6] |
Generators |
[412921320:3996410725:4741632] |
Generators of the group modulo torsion |
j |
15595458174/21240983 |
j-invariant |
L |
4.5142544966956 |
L(r)(E,1)/r! |
Ω |
0.60711817494151 |
Real period |
R |
14.871089955857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11408a4 45632f3 51336e3 |
Quadratic twists by: -4 8 -3 |