Atkin-Lehner |
3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
92565w |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.7323691355237E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11+ -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-124781262728,-16965684220682788] |
[a1,a2,a3,a4,a6] |
Generators |
[379075341898751070744362337670154150115863810724689656015925285351661740224759569441:-534537868433108511333613437427979606085547278185390322915353919139921535912936886812336:184748561623601474128711209160065737865845822277871244858587576284984334734181] |
Generators of the group modulo torsion |
j |
125000038250003901500132651/5080078125 |
j-invariant |
L |
4.2280880845823 |
L(r)(E,1)/r! |
Ω |
0.0080327122649434 |
Real period |
R |
131.5896780915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30855m2 92565u2 |
Quadratic twists by: -3 -11 |