Atkin-Lehner |
2- 3- 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330w |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
6659242104528000 = 27 · 38 · 53 · 13 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1113061,-452063359] |
[a1,a2,a3,a4,a6] |
Generators |
[-610:431:1] |
Generators of the group modulo torsion |
j |
152503789169648899163089/6659242104528000 |
j-invariant |
L |
8.3230375865855 |
L(r)(E,1)/r! |
Ω |
0.14698430019582 |
Real period |
R |
2.0223339634371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54990k4 91650q4 |
Quadratic twists by: -3 5 |