Atkin-Lehner |
2+ 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
45288g |
Isogeny class |
Conductor |
45288 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
592952958225893376 = 211 · 316 · 173 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1859619,975373630] |
[a1,a2,a3,a4,a6] |
j |
476363147195783234/397157491953 |
j-invariant |
L |
1.7280786211773 |
L(r)(E,1)/r! |
Ω |
0.28801310355064 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90576j2 15096h2 |
Quadratic twists by: -4 -3 |