Atkin-Lehner |
3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48165bc |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1061822561109375 = 3 · 56 · 137 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26790,622725] |
[a1,a2,a3,a4,a6] |
j |
440537367529/219984375 |
j-invariant |
L |
2.6111787475048 |
L(r)(E,1)/r! |
Ω |
0.43519645801654 |
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 |
3705f2 |
Quadratic twists by: 13 |