Atkin-Lehner |
2+ 11- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76912d |
Isogeny class |
Conductor |
76912 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7967953254407168 = 210 · 116 · 192 · 233 |
Discriminant |
Eigenvalues |
2+ 2 2 0 11- 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-267992,53315168] |
[a1,a2,a3,a4,a6] |
Generators |
[7626:7370:27] |
Generators of the group modulo torsion |
j |
2078695450287743332/7781204350007 |
j-invariant |
L |
11.490548262055 |
L(r)(E,1)/r! |
Ω |
0.41729660962489 |
Real period |
R |
4.5892809407858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989722 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38456a2 |
Quadratic twists by: -4 |