Atkin-Lehner |
2+ 3+ 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
59856f |
Isogeny class |
Conductor |
59856 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-1820405496048 = -1 · 24 · 3 · 295 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 3 1 5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67744,6809575] |
[a1,a2,a3,a4,a6] |
Generators |
[1146:1247:8] |
Generators of the group modulo torsion |
j |
-2148931882406486272/113775343503 |
j-invariant |
L |
4.8118357502908 |
L(r)(E,1)/r! |
Ω |
0.78907789753248 |
Real period |
R |
0.60980490845788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991302 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29928d1 |
Quadratic twists by: -4 |