Atkin-Lehner |
2+ 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240x |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
18849490560000 = 210 · 38 · 54 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15267,-695374] |
[a1,a2,a3,a4,a6] |
j |
527178079876/25250625 |
j-invariant |
L |
3.446187346217 |
L(r)(E,1)/r! |
Ω |
0.43077341825853 |
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 |
24120w2 16080b2 |
Quadratic twists by: -4 -3 |