Atkin-Lehner |
2+ 3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33930j |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
139687441698554100 = 22 · 310 · 52 · 138 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11280555,14585706625] |
[a1,a2,a3,a4,a6] |
Generators |
[1970:1355:1] |
Generators of the group modulo torsion |
j |
217764763259392950709681/191615146362900 |
j-invariant |
L |
4.5456333061747 |
L(r)(E,1)/r! |
Ω |
0.27338077559135 |
Real period |
R |
1.0392174834582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310j5 |
Quadratic twists by: -3 |