Atkin-Lehner |
11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
55451b |
Isogeny class |
Conductor |
55451 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-20630678825760971 = -1 · 115 · 716 |
Discriminant |
Eigenvalues |
-2 -1 1 2 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-52090,8305654] |
[a1,a2,a3,a4,a6] |
j |
-122023936/161051 |
j-invariant |
L |
0.34625935758005 |
L(r)(E,1)/r! |
Ω |
0.3462593607302 |
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 |
11a1 |
Quadratic twists by: -71 |