Atkin-Lehner |
2- 3- 5- 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126270bl |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2598400 |
Modular degree for the optimal curve |
Δ |
500766552422503200 = 25 · 313 · 52 · 235 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 1 4 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-942962,-350559151] |
[a1,a2,a3,a4,a6] |
j |
127197427195531913689/686922568480800 |
j-invariant |
L |
6.1302354995956 |
L(r)(E,1)/r! |
Ω |
0.15325591638076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42090e1 |
Quadratic twists by: -3 |