Atkin-Lehner |
2- 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
20124d |
Isogeny class |
Conductor |
20124 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
109851925248 = 28 · 310 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -6 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2415,42806] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:270:1] [-5:234:1] |
Generators of the group modulo torsion |
j |
8346562000/588627 |
j-invariant |
L |
6.6914912972933 |
L(r)(E,1)/r! |
Ω |
1.0347813205039 |
Real period |
R |
1.0777625450426 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80496bb2 6708b2 |
Quadratic twists by: -4 -3 |