Atkin-Lehner |
2+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
105710a |
Isogeny class |
Conductor |
105710 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-2559191414472704000 = -1 · 221 · 53 · 11 · 316 |
Discriminant |
Eigenvalues |
2+ -1 5+ 5 11+ -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,284917,-49856963] |
[a1,a2,a3,a4,a6] |
j |
2882081488391/2883584000 |
j-invariant |
L |
1.2571365122335 |
L(r)(E,1)/r! |
Ω |
0.13968185527558 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110c2 |
Quadratic twists by: -31 |