Atkin-Lehner |
2- 3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330s |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3.8650248658365E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-47157546,-2993738606811] |
[a1,a2,a3,a4,a6] |
j |
-11597845094944722710152295329/3865024865836504922724749070 |
j-invariant |
L |
1.9761583074402 |
L(r)(E,1)/r! |
Ω |
0.019761583074402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
100 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54990n3 91650bj3 |
Quadratic twists by: -3 5 |