Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4554z |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
107510540544 = 28 · 38 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12146,518001] |
[a1,a2,a3,a4,a6] |
Generators |
[11:615:1] |
Generators of the group modulo torsion |
j |
271808161065433/147476736 |
j-invariant |
L |
4.877640719474 |
L(r)(E,1)/r! |
Ω |
1.0442158284825 |
Real period |
R |
0.58388799834635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36432cs2 1518f2 113850bg2 50094s2 |
Quadratic twists by: -4 -3 5 -11 |