Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840gk |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
72931316701593600 = 224 · 37 · 52 · 433 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2869932,-1871307056] |
[a1,a2,a3,a4,a6] |
Generators |
[-976:180:1] |
Generators of the group modulo torsion |
j |
13679527032530281/381633600 |
j-invariant |
L |
8.2263987757786 |
L(r)(E,1)/r! |
Ω |
0.11599315997379 |
Real period |
R |
2.9550588440212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840cp3 30960bf3 41280db3 |
Quadratic twists by: -4 8 -3 |