Atkin-Lehner |
3- 11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52173f |
Isogeny class |
Conductor |
52173 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
45200517077682153 = 311 · 11 · 176 · 312 |
Discriminant |
Eigenvalues |
1 3- 0 2 11+ 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99747,6536200] |
[a1,a2,a3,a4,a6] |
Generators |
[-3316232:-42912620:12167] |
Generators of the group modulo torsion |
j |
150556032279096625/62003452781457 |
j-invariant |
L |
7.4335924820807 |
L(r)(E,1)/r! |
Ω |
0.32560963556008 |
Real period |
R |
5.7074420335274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17391d2 |
Quadratic twists by: -3 |