Atkin-Lehner |
11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60401n |
Isogeny class |
Conductor |
60401 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
210816 |
Modular degree for the optimal curve |
Δ |
-1147619 = -1 · 11 · 172 · 192 |
Discriminant |
Eigenvalues |
2 1 2 4 11- -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-132492,-18606569] |
[a1,a2,a3,a4,a6] |
Generators |
[1038376309259358062017180735905128637961818141700:1915473735633029144415798497634684077768597314481:2463599846749508955164412981349882895938673728] |
Generators of the group modulo torsion |
j |
-890016616697024512/3971 |
j-invariant |
L |
18.681523768851 |
L(r)(E,1)/r! |
Ω |
0.12511859873797 |
Real period |
R |
74.655262915684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60401g1 |
Quadratic twists by: 17 |