Atkin-Lehner |
2+ 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53856b |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3867291648 = 212 · 33 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 4 2 11+ 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4668,122720] |
[a1,a2,a3,a4,a6] |
j |
101716765632/34969 |
j-invariant |
L |
5.4726284967726 |
L(r)(E,1)/r! |
Ω |
1.368157124205 |
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 |
53856s2 107712s1 53856r2 |
Quadratic twists by: -4 8 -3 |