Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680ej |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1765048320 = 215 · 34 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28385,-1831263] |
[a1,a2,a3,a4,a6] |
Generators |
[227:1836:1] |
Generators of the group modulo torsion |
j |
77189063684552/53865 |
j-invariant |
L |
5.8685071099856 |
L(r)(E,1)/r! |
Ω |
0.36781215165705 |
Real period |
R |
3.9887936701782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999867827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680gp4 63840p4 |
Quadratic twists by: -4 8 |