Atkin-Lehner |
2- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18850s |
Isogeny class |
Conductor |
18850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
94250000 = 24 · 56 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-163,-719] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:121:8] |
Generators of the group modulo torsion |
j |
30664297/6032 |
j-invariant |
L |
10.141683919556 |
L(r)(E,1)/r! |
Ω |
1.3544333422663 |
Real period |
R |
3.743884472966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
754c1 |
Quadratic twists by: 5 |