Atkin-Lehner |
2+ 3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105270bb |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
302230170000 = 24 · 33 · 54 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4293,104608] |
[a1,a2,a3,a4,a6] |
Generators |
[59:-270:1] [-56:440:1] |
Generators of the group modulo torsion |
j |
6571778111891/227070000 |
j-invariant |
L |
10.142728473145 |
L(r)(E,1)/r! |
Ω |
0.96393605520882 |
Real period |
R |
0.43842502223879 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105270cb1 |
Quadratic twists by: -11 |