Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400cl |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
175602795315200 = 215 · 52 · 118 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15528,379828] |
[a1,a2,a3,a4,a6] |
Generators |
[12:442:1] |
Generators of the group modulo torsion |
j |
18865/8 |
j-invariant |
L |
4.2584617470718 |
L(r)(E,1)/r! |
Ω |
0.51565328323434 |
Real period |
R |
4.129190955945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050i1 48400db1 48400ck1 |
Quadratic twists by: -4 5 -11 |