Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600cb |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
4 |
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] |
j |
20436626/71 |
j-invariant |
L |
4.1427337052024 |
L(r)(E,1)/r! |
Ω |
1.0356835255348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600bd1 28400c1 4544l1 |
Quadratic twists by: -4 8 5 |