Atkin-Lehner |
2+ 3- 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
59856i |
Isogeny class |
Conductor |
59856 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
175360 |
Modular degree for the optimal curve |
Δ |
-208478448 = -1 · 24 · 35 · 29 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -4 -5 -3 1 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21940,1243559] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:1503:1] [77:129:1] |
Generators of the group modulo torsion |
j |
-73001770593961216/13029903 |
j-invariant |
L |
7.8507443189355 |
L(r)(E,1)/r! |
Ω |
1.4013853129088 |
Real period |
R |
0.56021311530884 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29928f1 |
Quadratic twists by: -4 |