Atkin-Lehner |
2- 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530cg |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
Δ |
158193000000000 = 29 · 36 · 59 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-191417,32276441] |
[a1,a2,a3,a4,a6] |
j |
1063985165884855369/217000000000 |
j-invariant |
L |
5.0366407969076 |
L(r)(E,1)/r! |
Ω |
0.55962675521195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
2170c3 97650bf3 |
Quadratic twists by: -3 5 |