Atkin-Lehner |
3- 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128271p |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.2473741562256E+19 |
Discriminant |
Eigenvalues |
1 3- 2 0 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-955530,-397727471] |
[a1,a2,a3,a4,a6] |
j |
-19989223566735457/2584262514273 |
j-invariant |
L |
4.8513849288012 |
L(r)(E,1)/r! |
Ω |
0.075802891004992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
759b6 |
Quadratic twists by: 13 |