Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680gc |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
407554560000 = 212 · 32 · 54 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3865,-88537] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:72:1] |
Generators of the group modulo torsion |
j |
1559281836736/99500625 |
j-invariant |
L |
10.073298395042 |
L(r)(E,1)/r! |
Ω |
0.6079070308182 |
Real period |
R |
2.0713073431944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019593 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680eq2 63840bd1 |
Quadratic twists by: -4 8 |