Atkin-Lehner |
2+ 3+ 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520a |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
172943655984000000 = 210 · 312 · 56 · 11 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124709696,-535999969680] |
[a1,a2,a3,a4,a6] |
Generators |
[259169850973693554838:13728717624403211213250:18220721175912221] |
Generators of the group modulo torsion |
j |
209471248232069546300527876/168890289046875 |
j-invariant |
L |
5.1492212317939 |
L(r)(E,1)/r! |
Ω |
0.04517773974655 |
Real period |
R |
28.494238936446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999767088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56760v2 |
Quadratic twists by: -4 |