Atkin-Lehner |
3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
84825p |
Isogeny class |
Conductor |
84825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3051698395078125 = 36 · 57 · 133 · 293 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 0 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-59700,4945531] |
[a1,a2,a3,a4,a6] |
Generators |
[95:362:1] |
Generators of the group modulo torsion |
j |
2065851744256/267913165 |
j-invariant |
L |
4.7936115892793 |
L(r)(E,1)/r! |
Ω |
0.4336207693647 |
Real period |
R |
0.92123731409426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999883573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9425a2 16965k2 |
Quadratic twists by: -3 5 |