Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680cm |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
2.2432940281332E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33678401,21583501599] |
[a1,a2,a3,a4,a6] |
Generators |
[-5525:197568:1] |
Generators of the group modulo torsion |
j |
16115292555782480096401/8557487595112640625 |
j-invariant |
L |
6.439609577598 |
L(r)(E,1)/r! |
Ω |
0.071937766976141 |
Real period |
R |
1.8649249136813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999253286 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680dl2 1995d2 |
Quadratic twists by: -4 8 |