Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190bp |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.1955166482678E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6346271,6144896693] |
[a1,a2,a3,a4,a6] |
Generators |
[-2883:23554:1] |
Generators of the group modulo torsion |
j |
15955978629870426889/18037858410000 |
j-invariant |
L |
8.1696625569863 |
L(r)(E,1)/r! |
Ω |
0.20729429173594 |
Real period |
R |
4.9263672968097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290e2 |
Quadratic twists by: -11 |