Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400cn |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-110722562500000000 = -1 · 28 · 512 · 116 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-109908,-21320312] |
[a1,a2,a3,a4,a6] |
Generators |
[19602234:1130755769:5832] |
Generators of the group modulo torsion |
j |
-20720464/15625 |
j-invariant |
L |
2.9357269548635 |
L(r)(E,1)/r! |
Ω |
0.12694622215023 |
Real period |
R |
11.562876409976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12100f4 9680t4 400e4 |
Quadratic twists by: -4 5 -11 |