Atkin-Lehner |
2- 3- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464bb |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
158725391616 = 28 · 38 · 113 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11+ -3 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2568,-46276] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:27:1] [-26:54:1] |
Generators of the group modulo torsion |
j |
10035552256/850509 |
j-invariant |
L |
11.902729289069 |
L(r)(E,1)/r! |
Ω |
0.67427681138364 |
Real period |
R |
2.2065732293788 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28116g1 37488q1 |
Quadratic twists by: -4 -3 |