Atkin-Lehner |
3- 7- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44919a |
Isogeny class |
Conductor |
44919 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
774998422317 = 39 · 74 · 232 · 31 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39965,3084824] |
[a1,a2,a3,a4,a6] |
Generators |
[132:-377:1] |
Generators of the group modulo torsion |
j |
9683345953023625/1063097973 |
j-invariant |
L |
3.7598830934263 |
L(r)(E,1)/r! |
Ω |
0.86117610400059 |
Real period |
R |
0.54574829061785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14973c2 |
Quadratic twists by: -3 |