Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190k |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
409840185140100 = 22 · 34 · 52 · 116 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68367,6782769] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:3297:1] |
Generators of the group modulo torsion |
j |
19948814692561/231344100 |
j-invariant |
L |
3.8676142170225 |
L(r)(E,1)/r! |
Ω |
0.53399865471722 |
Real period |
R |
1.8106853747896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
390b3 |
Quadratic twists by: -11 |