Atkin-Lehner |
2- 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
8468b |
Isogeny class |
Conductor |
8468 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
455781632 = 28 · 293 · 73 |
Discriminant |
Eigenvalues |
2- -2 0 2 -3 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29613,-1971329] |
[a1,a2,a3,a4,a6] |
Generators |
[5018:120435:8] |
Generators of the group modulo torsion |
j |
11218780017664000/1780397 |
j-invariant |
L |
2.9024564917941 |
L(r)(E,1)/r! |
Ω |
0.36393827730361 |
Real period |
R |
7.9751338971491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33872e2 76212l2 |
Quadratic twists by: -4 -3 |