Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190s |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.4702799777497E+34 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-166298564907,-25442206797607299] |
[a1,a2,a3,a4,a6] |
Generators |
[355317423260267003683968977413208234800458393:167383869018948844563403350125831287470009879936:609769481414343434977891589647570756259] |
Generators of the group modulo torsion |
j |
287099942490903701230558394328721/8299347173197257908489616000 |
j-invariant |
L |
2.6793303959707 |
L(r)(E,1)/r! |
Ω |
0.007489362768896 |
Real period |
R |
59.625241796028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290u3 |
Quadratic twists by: -11 |