Atkin-Lehner |
2+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
113600bd |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
145408000000 = 217 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ -1 5+ -5 -2 -1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7233,-233663] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:25:1] [-47:16:1] |
Generators of the group modulo torsion |
j |
20436626/71 |
j-invariant |
L |
7.7813260058039 |
L(r)(E,1)/r! |
Ω |
0.51779238964052 |
Real period |
R |
1.8784859908431 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000006381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600cb1 14200f1 4544f1 |
Quadratic twists by: -4 8 5 |