Atkin-Lehner |
3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
29205g |
Isogeny class |
Conductor |
29205 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.1334831776739E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,167062,308165492] |
[a1,a2,a3,a4,a6] |
Generators |
[1575:66118:1] |
Generators of the group modulo torsion |
j |
707345589359672999/56700729460546875 |
j-invariant |
L |
3.6657992806378 |
L(r)(E,1)/r! |
Ω |
0.15570482988369 |
Real period |
R |
2.9429074899089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735j4 |
Quadratic twists by: -3 |