Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110940c |
Isogeny class |
Conductor |
110940 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
40049856 |
Modular degree for the optimal curve |
Δ |
1.2250909623524E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 1 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124216436,18978270840] |
[a1,a2,a3,a4,a6] |
Generators |
[5049802058401224708230541071816205829350030255356694567:472571166064132091992857283231657358924718530623579172334:309701907335769747001202636609950491105877769350567] |
Generators of the group modulo torsion |
j |
38312137936/22143375 |
j-invariant |
L |
4.3650691971328 |
L(r)(E,1)/r! |
Ω |
0.049911131111013 |
Real period |
R |
87.456827765013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110940h1 |
Quadratic twists by: -43 |