Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4554z |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
143367545618352 = 24 · 37 · 114 · 234 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14306,322737] |
[a1,a2,a3,a4,a6] |
Generators |
[3:527:1] |
Generators of the group modulo torsion |
j |
444142553850073/196663299888 |
j-invariant |
L |
4.877640719474 |
L(r)(E,1)/r! |
Ω |
0.52210791424127 |
Real period |
R |
1.1677759966927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36432cs3 1518f4 113850bg3 50094s3 |
Quadratic twists by: -4 -3 5 -11 |