Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992dh |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-478125052182134784 = -1 · 219 · 36 · 79 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1943436,1043336432] |
[a1,a2,a3,a4,a6] |
j |
-4247828669470177/2501923634 |
j-invariant |
L |
5.2546491809617 |
L(r)(E,1)/r! |
Ω |
0.29192501923144 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992ep3 3906l3 13888k3 |
Quadratic twists by: -4 8 -3 |