Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400j |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
734400000000 = 212 · 33 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6300,-188000] |
[a1,a2,a3,a4,a6] |
j |
16003008/425 |
j-invariant |
L |
2.1469818832826 |
L(r)(E,1)/r! |
Ω |
0.5367454612886 |
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 |
122400ck2 122400cg2 24480z2 |
Quadratic twists by: -4 -3 5 |