Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27072ci |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
346212876976128 = 215 · 314 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -2 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2518860,-1538700464] |
[a1,a2,a3,a4,a6] |
j |
73987497479141000/14493249 |
j-invariant |
L |
1.9174256598338 |
L(r)(E,1)/r! |
Ω |
0.11983910373962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27072bv2 13536l2 9024bn2 |
Quadratic twists by: -4 8 -3 |