Atkin-Lehner |
3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4059a |
Isogeny class |
Conductor |
4059 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-476551680561 = -1 · 38 · 116 · 41 |
Discriminant |
Eigenvalues |
-1 3- -2 4 11+ 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1219,-29194] |
[a1,a2,a3,a4,a6] |
j |
275005425527/653706009 |
j-invariant |
L |
0.96643399380107 |
L(r)(E,1)/r! |
Ω |
0.48321699690054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64944bo2 1353d2 101475be2 44649o2 |
Quadratic twists by: -4 -3 5 -11 |