Atkin-Lehner |
5- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29725b |
Isogeny class |
Conductor |
29725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2432 |
Modular degree for the optimal curve |
Δ |
148625 = 53 · 29 · 41 |
Discriminant |
Eigenvalues |
1 0 5- 0 4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-122,-489] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:27:8] |
Generators of the group modulo torsion |
j |
1613964717/1189 |
j-invariant |
L |
6.3114582653175 |
L(r)(E,1)/r! |
Ω |
1.4360252140954 |
Real period |
R |
2.1975443757418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29725c1 |
Quadratic twists by: 5 |