Atkin-Lehner |
2+ 7+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
39928a |
Isogeny class |
Conductor |
39928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2499776448512 = 211 · 74 · 232 · 312 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 0 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11688,-476500] |
[a1,a2,a3,a4,a6] |
Generators |
[-1126521:-809324:19683] |
Generators of the group modulo torsion |
j |
86228637799250/1220593969 |
j-invariant |
L |
8.1244560395004 |
L(r)(E,1)/r! |
Ω |
0.45955089101786 |
Real period |
R |
8.8395607519168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79856b2 |
Quadratic twists by: -4 |