Atkin-Lehner |
2- 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
123662bh |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
Δ |
-85770418813971584 = -1 · 27 · 76 · 114 · 733 |
Discriminant |
Eigenvalues |
2- 1 3 7- 11- 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,69391,-12202519] |
[a1,a2,a3,a4,a6] |
Generators |
[140:441:1] |
Generators of the group modulo torsion |
j |
2523841160874143/5858235012224 |
j-invariant |
L |
17.847807499523 |
L(r)(E,1)/r! |
Ω |
0.17646746237392 |
Real period |
R |
0.80269338918129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123662c2 |
Quadratic twists by: -11 |