Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200cr |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
242064000000000 = 213 · 32 · 59 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16208,270912] |
[a1,a2,a3,a4,a6] |
j |
58863869/30258 |
j-invariant |
L |
3.9197643562055 |
L(r)(E,1)/r! |
Ω |
0.48997054446893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6150bj2 49200ec2 |
Quadratic twists by: -4 5 |