Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400ce |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
67280000000 = 210 · 57 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1133,7363] |
[a1,a2,a3,a4,a6] |
Generators |
[43:200:1] |
Generators of the group modulo torsion |
j |
10061824/4205 |
j-invariant |
L |
5.0374141909234 |
L(r)(E,1)/r! |
Ω |
0.99471111102577 |
Real period |
R |
1.2660495432049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46400s1 11600d1 9280u1 |
Quadratic twists by: -4 8 5 |