Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218a |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1298051649648 = -1 · 24 · 39 · 132 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 -3 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2523,24389] |
[a1,a2,a3,a4,a6] |
Generators |
[46:463:1] |
Generators of the group modulo torsion |
j |
533827125/390224 |
j-invariant |
L |
4.5770255143801 |
L(r)(E,1)/r! |
Ω |
0.54728841645313 |
Real period |
R |
2.0907739743544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88218bn1 88218bj2 |
Quadratic twists by: -3 13 |