Atkin-Lehner |
5+ 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
103675z |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
72876721328125 = 57 · 114 · 133 · 29 |
Discriminant |
Eigenvalues |
0 1 5+ -3 11- 13- -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-182033,29829844] |
[a1,a2,a3,a4,a6] |
Generators |
[6726:-1801:27] [122:3074:1] |
Generators of the group modulo torsion |
j |
42692978194776064/4664110165 |
j-invariant |
L |
9.9423105784374 |
L(r)(E,1)/r! |
Ω |
0.58966667565942 |
Real period |
R |
0.35126874036512 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20735j1 |
Quadratic twists by: 5 |