Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fn |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
33999257600000000 = 221 · 58 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23413633,-43598704863] |
[a1,a2,a3,a4,a6] |
Generators |
[5669257821:-412748661500:658503] |
Generators of the group modulo torsion |
j |
346553430870203929/8300600 |
j-invariant |
L |
11.422303654558 |
L(r)(E,1)/r! |
Ω |
0.068632900351552 |
Real period |
R |
13.868838958873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999540242 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200bb2 30800by2 24640bs2 |
Quadratic twists by: -4 8 5 |