Atkin-Lehner |
2- 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2046g |
Isogeny class |
Conductor |
2046 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4286582784 = 212 · 32 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21824,1231841] |
[a1,a2,a3,a4,a6] |
j |
1149550394446181377/4286582784 |
j-invariant |
L |
1.8198641983391 |
L(r)(E,1)/r! |
Ω |
1.2132427988927 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
16368ba2 65472y2 6138g2 51150r2 |
Quadratic twists by: -4 8 -3 5 |