Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400cw |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
428717762000 = 24 · 53 · 118 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2420,33275] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:242:1] [-190:2225:8] |
Generators of the group modulo torsion |
j |
442368/121 |
j-invariant |
L |
8.5846011759456 |
L(r)(E,1)/r! |
Ω |
0.87912677222608 |
Real period |
R |
4.8824591897078 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12100i1 48400cv1 4400ba1 |
Quadratic twists by: -4 5 -11 |