Atkin-Lehner |
2- 3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
127896m |
Isogeny class |
Conductor |
127896 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
348674057369856 = 28 · 32 · 736 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23092,1016260] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:1430:1] [22:720:1] |
Generators of the group modulo torsion |
j |
35152/9 |
j-invariant |
L |
11.58757215682 |
L(r)(E,1)/r! |
Ω |
0.50480213065953 |
Real period |
R |
11.47734078517 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999926661 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24a1 |
Quadratic twists by: 73 |