Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fg |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
789185877513486336 = 214 · 310 · 138 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-269724,32867120] |
[a1,a2,a3,a4,a6] |
Generators |
[886127:16213365:1331] |
Generators of the group modulo torsion |
j |
37642192/13689 |
j-invariant |
L |
9.6283653634477 |
L(r)(E,1)/r! |
Ω |
0.25929149023225 |
Real period |
R |
9.2833410773456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941121 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97344bx2 24336l2 32448cl2 7488bu2 |
Quadratic twists by: -4 8 -3 13 |