Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44640r |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
173560320 = 29 · 37 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44643,-3630598] |
[a1,a2,a3,a4,a6] |
Generators |
[362:5258:1] |
Generators of the group modulo torsion |
j |
26362484478728/465 |
j-invariant |
L |
4.0609195765876 |
L(r)(E,1)/r! |
Ω |
0.32844390900698 |
Real period |
R |
6.1820595012503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640l4 89280gd4 14880l3 |
Quadratic twists by: -4 8 -3 |