Atkin-Lehner |
3- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27531d |
Isogeny class |
Conductor |
27531 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
56639775097647 = 36 · 72 · 194 · 233 |
Discriminant |
Eigenvalues |
1 3- 0 7- -4 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-583542,171721489] |
[a1,a2,a3,a4,a6] |
Generators |
[56:11771:1] |
Generators of the group modulo torsion |
j |
30144838467846390625/77695164743 |
j-invariant |
L |
5.6210679614894 |
L(r)(E,1)/r! |
Ω |
0.54368929784809 |
Real period |
R |
0.86156253576836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3059b2 |
Quadratic twists by: -3 |