Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190k |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
19643227808490 = 2 · 38 · 5 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1090817,438052179] |
[a1,a2,a3,a4,a6] |
Generators |
[785:7748:1] |
Generators of the group modulo torsion |
j |
81025909800741361/11088090 |
j-invariant |
L |
3.8676142170225 |
L(r)(E,1)/r! |
Ω |
0.53399865471722 |
Real period |
R |
3.6213707495792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
390b5 |
Quadratic twists by: -11 |