Atkin-Lehner |
3+ 5+ 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128325b |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
167424 |
Modular degree for the optimal curve |
Δ |
11629453125 = 3 · 57 · 292 · 59 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 4 -1 1 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2008,-33582] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:14:1] |
Generators of the group modulo torsion |
j |
57333846016/744285 |
j-invariant |
L |
3.5192011836173 |
L(r)(E,1)/r! |
Ω |
0.7137262835339 |
Real period |
R |
1.2326859155445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995298726 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25665k1 |
Quadratic twists by: 5 |