Atkin-Lehner |
2+ 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064c |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.6287165183363E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1366977,-37062207] |
[a1,a2,a3,a4,a6] |
Generators |
[1106405130420864088672:-140314404084038802622285:68427464459953859] |
Generators of the group modulo torsion |
j |
1077625178826324337/621306044897562 |
j-invariant |
L |
5.4122347902636 |
L(r)(E,1)/r! |
Ω |
0.15217121072229 |
Real period |
R |
35.566744817973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000313848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064dg3 4002o4 |
Quadratic twists by: -4 8 |