Atkin-Lehner |
3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
84825p |
Isogeny class |
Conductor |
84825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
536783203125 = 36 · 59 · 13 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 0 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14700,-685094] |
[a1,a2,a3,a4,a6] |
Generators |
[-1860:674:27] |
Generators of the group modulo torsion |
j |
30840979456/47125 |
j-invariant |
L |
4.7936115892793 |
L(r)(E,1)/r! |
Ω |
0.4336207693647 |
Real period |
R |
2.7637119422828 |
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 |
9425a1 16965k1 |
Quadratic twists by: -3 5 |