Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44640p |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
117153216000000 = 212 · 310 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 -4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14988,477088] |
[a1,a2,a3,a4,a6] |
Generators |
[26:324:1] |
Generators of the group modulo torsion |
j |
124700239936/39234375 |
j-invariant |
L |
5.7336790688824 |
L(r)(E,1)/r! |
Ω |
0.54612807184585 |
Real period |
R |
1.3123476352119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640bj2 89280cr1 14880s2 |
Quadratic twists by: -4 8 -3 |