Atkin-Lehner |
2- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128800be |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-344011899392000 = -1 · 212 · 53 · 74 · 234 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 4 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172780,-27657600] |
[a1,a2,a3,a4,a6] |
Generators |
[2055246932:-241369819908:148877] |
Generators of the group modulo torsion |
j |
-1114125617293632/671898241 |
j-invariant |
L |
5.4868345054534 |
L(r)(E,1)/r! |
Ω |
0.11707939860057 |
Real period |
R |
11.716054515535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128800bj2 128800t2 |
Quadratic twists by: -4 5 |