Atkin-Lehner |
2- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
44206u |
Isogeny class |
Conductor |
44206 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
266775783392 = 25 · 234 · 313 |
Discriminant |
Eigenvalues |
2- -2 -2 0 -2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4949,-132095] |
[a1,a2,a3,a4,a6] |
Generators |
[142:-1497:1] [516:11351:1] |
Generators of the group modulo torsion |
j |
449983383247/8954912 |
j-invariant |
L |
8.4048212634892 |
L(r)(E,1)/r! |
Ω |
0.56989514177201 |
Real period |
R |
1.474801353343 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44206o2 |
Quadratic twists by: -31 |