Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5390s |
Isogeny class |
Conductor |
5390 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-339250774016000 = -1 · 221 · 53 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 11- -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14528,-569344] |
[a1,a2,a3,a4,a6] |
j |
2882081488391/2883584000 |
j-invariant |
L |
0.88184666414215 |
L(r)(E,1)/r! |
Ω |
0.29394888804738 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43120cm2 48510cw2 26950cr2 110c2 |
Quadratic twists by: -4 -3 5 -7 |