Atkin-Lehner |
3- 5- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128325z |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
235520 |
Modular degree for the optimal curve |
Δ |
82790798625 = 38 · 53 · 29 · 592 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 0 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19918,1080227] |
[a1,a2,a3,a4,a6] |
Generators |
[77:29:1] [-154:785:1] |
Generators of the group modulo torsion |
j |
6991208365100597/662326389 |
j-invariant |
L |
7.7504815939721 |
L(r)(E,1)/r! |
Ω |
1.034372026314 |
Real period |
R |
0.93661678238387 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128325l1 |
Quadratic twists by: 5 |