Atkin-Lehner |
3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32175j |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-14659734375 = -1 · 38 · 56 · 11 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,445,-4678] |
[a1,a2,a3,a4,a6] |
Generators |
[10:21:1] [18:85:1] |
Generators of the group modulo torsion |
j |
857375/1287 |
j-invariant |
L |
5.5896368588858 |
L(r)(E,1)/r! |
Ω |
0.66090080178939 |
Real period |
R |
4.2288016928951 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10725g1 1287c1 |
Quadratic twists by: -3 5 |