Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56840k |
Isogeny class |
Conductor |
56840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1671792290000 = 24 · 54 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23618,-1395667] |
[a1,a2,a3,a4,a6] |
j |
774006921216/888125 |
j-invariant |
L |
1.5405602519981 |
L(r)(E,1)/r! |
Ω |
0.38514006238331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113680e1 8120i1 |
Quadratic twists by: -4 -7 |