Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3648i |
Isogeny class |
Conductor |
3648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
461198721024 = 217 · 33 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5089,137569] |
[a1,a2,a3,a4,a6] |
j |
111223479026/3518667 |
j-invariant |
L |
0.93174759737454 |
L(r)(E,1)/r! |
Ω |
0.93174759737454 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3648bg3 456b3 10944be3 91200dm4 |
Quadratic twists by: -4 8 -3 5 |