Atkin-Lehner |
2- 3- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478co |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
107136 |
Modular degree for the optimal curve |
Δ |
-32031878004 = -1 · 22 · 39 · 72 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -4 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1,-8611] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-367:1] |
Generators of the group modulo torsion |
j |
-2401/653711796 |
j-invariant |
L |
12.179334416661 |
L(r)(E,1)/r! |
Ω |
0.5363092760709 |
Real period |
R |
0.63082042046686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128478bw1 |
Quadratic twists by: -7 |