Atkin-Lehner |
2- 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2046g |
Isogeny class |
Conductor |
2046 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
70094268661824 = 26 · 34 · 114 · 314 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22144,1193441] |
[a1,a2,a3,a4,a6] |
j |
1200862149227882497/70094268661824 |
j-invariant |
L |
1.8198641983391 |
L(r)(E,1)/r! |
Ω |
0.60662139944636 |
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 |
16368ba4 65472y3 6138g4 51150r3 |
Quadratic twists by: -4 8 -3 5 |