Atkin-Lehner |
2+ 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850u |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-14780317500000000 = -1 · 28 · 32 · 510 · 134 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,44849,-4562302] |
[a1,a2,a3,a4,a6] |
Generators |
[37009:406412:343] |
Generators of the group modulo torsion |
j |
638522048185631/945940320000 |
j-invariant |
L |
6.3338552132327 |
L(r)(E,1)/r! |
Ω |
0.209010908212 |
Real period |
R |
7.5759864250838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970l1 |
Quadratic twists by: 5 |