Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190bq |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.1740213636826E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-649591,-116167237] |
[a1,a2,a3,a4,a6] |
Generators |
[-38412:506401:64] |
Generators of the group modulo torsion |
j |
17111482619973769/6627044531250 |
j-invariant |
L |
4.8457734761893 |
L(r)(E,1)/r! |
Ω |
0.1737895233677 |
Real period |
R |
6.970750282145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290a4 |
Quadratic twists by: -11 |