Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400du |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
92400000000000000 = 216 · 3 · 514 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7890008,-8527657488] |
[a1,a2,a3,a4,a6] |
Generators |
[4153:174116:1] |
Generators of the group modulo torsion |
j |
848742840525560401/1443750000 |
j-invariant |
L |
6.2416256832965 |
L(r)(E,1)/r! |
Ω |
0.090080384970603 |
Real period |
R |
8.661188679383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999993346 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550y4 18480dg3 |
Quadratic twists by: -4 5 |