Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840dm |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8666818560000 = 214 · 39 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23868,1412208] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:1404:1] [34:800:1] |
Generators of the group modulo torsion |
j |
4662947952/26875 |
j-invariant |
L |
11.181422220059 |
L(r)(E,1)/r! |
Ω |
0.7374819704563 |
Real period |
R |
3.7904052813246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840g2 30960b2 123840dx2 |
Quadratic twists by: -4 8 -3 |