Atkin-Lehner |
2- 3- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11730r |
Isogeny class |
Conductor |
11730 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
Δ |
-7.3397668360928E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 6 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1178719370,-15576378725340] |
[a1,a2,a3,a4,a6] |
j |
-181115230666453748331501322738081/7339766836092776847360 |
j-invariant |
L |
5.1016673664445 |
L(r)(E,1)/r! |
Ω |
0.012882998400112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93840bo2 35190r2 58650l2 |
Quadratic twists by: -4 -3 5 |