Atkin-Lehner |
2- 3+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920bi |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
654541056000000 = 214 · 32 · 56 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52560,-4454208] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:400:1] |
Generators of the group modulo torsion |
j |
3920469654252241/159800062500 |
j-invariant |
L |
3.6929743835766 |
L(r)(E,1)/r! |
Ω |
0.31610085283376 |
Real period |
R |
0.97357495400349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997413451 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15990v2 |
Quadratic twists by: -4 |