Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880ea |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
28486287360000 = 217 · 38 · 54 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11745,413343] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:945:1] |
Generators of the group modulo torsion |
j |
1367130038258/217333125 |
j-invariant |
L |
8.678078560576 |
L(r)(E,1)/r! |
Ω |
0.63549350751465 |
Real period |
R |
1.706956573506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50880r4 12720a3 |
Quadratic twists by: -4 8 |