Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32175o |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
952882734375 = 38 · 57 · 11 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11- 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65817,-6482534] |
[a1,a2,a3,a4,a6] |
Generators |
[6022:150889:8] |
Generators of the group modulo torsion |
j |
2768178670921/83655 |
j-invariant |
L |
5.8803101003984 |
L(r)(E,1)/r! |
Ω |
0.29806810886228 |
Real period |
R |
4.9320188285517 |
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 |
10725c2 6435k2 |
Quadratic twists by: -3 5 |