Atkin-Lehner |
2+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32560d |
Isogeny class |
Conductor |
32560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-15964853062400 = -1 · 28 · 52 · 113 · 374 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11- -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4817,-142818] |
[a1,a2,a3,a4,a6] |
Generators |
[174:2442:1] |
Generators of the group modulo torsion |
j |
48285161213616/62362707275 |
j-invariant |
L |
4.757240305356 |
L(r)(E,1)/r! |
Ω |
0.37238598972428 |
Real period |
R |
1.0645854115148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16280a2 |
Quadratic twists by: -4 |