Atkin-Lehner |
2- 3+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582y |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5408596615491648 = 26 · 32 · 176 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21079088,-37258745263] |
[a1,a2,a3,a4,a6] |
Generators |
[-21210:10673:8] [5799:185665:1] |
Generators of the group modulo torsion |
j |
42912679782639390625/224073792 |
j-invariant |
L |
14.508711258679 |
L(r)(E,1)/r! |
Ω |
0.070459020340939 |
Real period |
R |
34.319502771364 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999969182 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438a3 |
Quadratic twists by: 17 |