Atkin-Lehner |
2+ 3- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25944b |
Isogeny class |
Conductor |
25944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4124473344 = 211 · 34 · 232 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 6 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-162424,-25249744] |
[a1,a2,a3,a4,a6] |
j |
231391306636430834/2013903 |
j-invariant |
L |
1.9025092135828 |
L(r)(E,1)/r! |
Ω |
0.23781365169786 |
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 |
51888f2 77832j2 |
Quadratic twists by: -4 -3 |