Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fg |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.9668940331875E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1851564,-945975472] |
[a1,a2,a3,a4,a6] |
Generators |
[-6713458281712:34003119095660:9353919043] |
Generators of the group modulo torsion |
j |
3044193988/85293 |
j-invariant |
L |
9.6283653634477 |
L(r)(E,1)/r! |
Ω |
0.12964574511612 |
Real period |
R |
18.566682154691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344bx4 24336l4 32448cl4 7488bu3 |
Quadratic twists by: -4 8 -3 13 |