Atkin-Lehner |
2- 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14352u |
Isogeny class |
Conductor |
14352 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-34639057120591872 = -1 · 216 · 32 · 136 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -6 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10368,8967168] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:1794:1] [32:2944:1] |
Generators of the group modulo torsion |
j |
-30094741482625/8456801054832 |
j-invariant |
L |
5.5324508042345 |
L(r)(E,1)/r! |
Ω |
0.29909852033219 |
Real period |
R |
0.51380792133589 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1794i3 57408dg3 43056bl3 |
Quadratic twists by: -4 8 -3 |