Atkin-Lehner |
2+ 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150x |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.2160721012806E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-707292,-33312384] |
[a1,a2,a3,a4,a6] |
Generators |
[-3378:111939:8] |
Generators of the group modulo torsion |
j |
3435363847045369/1945522832400 |
j-invariant |
L |
5.3943185417085 |
L(r)(E,1)/r! |
Ω |
0.17758649840755 |
Real period |
R |
3.7969655417852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038171 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43050bu2 25830bj2 |
Quadratic twists by: -3 5 |