Atkin-Lehner |
3- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
54747m |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
242775954729 = 38 · 72 · 112 · 792 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1863,-19440] |
[a1,a2,a3,a4,a6] |
j |
981218819953/333026001 |
j-invariant |
L |
1.4932820454715 |
L(r)(E,1)/r! |
Ω |
0.74664102271449 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18249k2 |
Quadratic twists by: -3 |