Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
58812v |
Isogeny class |
Conductor |
58812 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-357812208 = -1 · 24 · 33 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -3 13+ -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-394,3017] |
[a1,a2,a3,a4,a6] |
Generators |
[17:39:1] [-22:39:1] |
Generators of the group modulo torsion |
j |
-14839552/783 |
j-invariant |
L |
9.3410153216681 |
L(r)(E,1)/r! |
Ω |
1.6808029695009 |
Real period |
R |
0.20583229367748 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58812t1 |
Quadratic twists by: 13 |