Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
111328p |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
186368 |
Modular degree for the optimal curve |
Δ |
-13019042104768 = -1 · 26 · 79 · 712 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 4 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16121,-806736] |
[a1,a2,a3,a4,a6] |
Generators |
[222816275:2858375416:912673] |
Generators of the group modulo torsion |
j |
-179406144/5041 |
j-invariant |
L |
6.1605695465941 |
L(r)(E,1)/r! |
Ω |
0.21149595934196 |
Real period |
R |
14.564272470714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999837215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111328e1 111328o1 |
Quadratic twists by: -4 -7 |