Atkin-Lehner |
2+ 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5270b |
Isogeny class |
Conductor |
5270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
77979136000 = 212 · 53 · 173 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -6 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2409,-43668] |
[a1,a2,a3,a4,a6] |
j |
1545165254811529/77979136000 |
j-invariant |
L |
1.36726009336 |
L(r)(E,1)/r! |
Ω |
0.68363004668001 |
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 |
42160l2 47430bl2 26350p2 89590e2 |
Quadratic twists by: -4 -3 5 17 |