Atkin-Lehner |
2- 3- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
126936h |
Isogeny class |
Conductor |
126936 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5686661099950589952 = -1 · 211 · 312 · 414 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5854539,-5453600218] |
[a1,a2,a3,a4,a6] |
Generators |
[82731735294920:7370231250541239:9528128000] |
Generators of the group modulo torsion |
j |
-14864295885204325394/3808902592881 |
j-invariant |
L |
7.2877936857174 |
L(r)(E,1)/r! |
Ω |
0.04852769988239 |
Real period |
R |
18.772251880041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058875 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42312b2 |
Quadratic twists by: -3 |