Atkin-Lehner |
2+ 3- 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080y |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1862897414400 = 28 · 32 · 52 · 114 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5820,-159732] |
[a1,a2,a3,a4,a6] |
Generators |
[1946:85800:1] |
Generators of the group modulo torsion |
j |
85177976690896/7276943025 |
j-invariant |
L |
9.451438738967 |
L(r)(E,1)/r! |
Ω |
0.54956616332414 |
Real period |
R |
4.2994999522342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999652121 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62040b2 |
Quadratic twists by: -4 |