Atkin-Lehner |
3- 5- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475o |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-2818222875 = -1 · 37 · 53 · 132 · 61 |
Discriminant |
Eigenvalues |
-2 3- 5- -1 -4 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-268,2974] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:41:8] [-16:58:1] |
Generators of the group modulo torsion |
j |
-17093758976/22545783 |
j-invariant |
L |
5.9545417009158 |
L(r)(E,1)/r! |
Ω |
1.2925752924658 |
Real period |
R |
0.16452596985573 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59475i1 |
Quadratic twists by: 5 |