Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18032q |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8157439066112 = 217 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 0 -4 7- -2 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-133427,-18758670] |
[a1,a2,a3,a4,a6] |
Generators |
[434:2254:1] |
Generators of the group modulo torsion |
j |
545138290809/16928 |
j-invariant |
L |
2.9530397704876 |
L(r)(E,1)/r! |
Ω |
0.2497982741462 |
Real period |
R |
2.9554245126202 |
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 |
2254c2 72128bd2 368b2 |
Quadratic twists by: -4 8 -7 |