Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190u |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.26039858001E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1261549,471035816] |
[a1,a2,a3,a4,a6] |
Generators |
[23534:1180729:8] |
Generators of the group modulo torsion |
j |
125337052492018849/18404100000000 |
j-invariant |
L |
4.5177216985614 |
L(r)(E,1)/r! |
Ω |
0.19929872769746 |
Real period |
R |
5.6670227536828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290w2 |
Quadratic twists by: -11 |