Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400cf |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
257803924500000000 = 28 · 36 · 59 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-321375,-65731250] |
[a1,a2,a3,a4,a6] |
j |
10070764688/707281 |
j-invariant |
L |
1.6112161817254 |
L(r)(E,1)/r! |
Ω |
0.20140203678529 |
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 |
52200bf2 11600j2 104400ci2 |
Quadratic twists by: -4 -3 5 |