Atkin-Lehner |
2+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
44206h |
Isogeny class |
Conductor |
44206 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.3333555603973E+22 |
Discriminant |
Eigenvalues |
2+ 2 0 -4 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13882145,-19123146859] |
[a1,a2,a3,a4,a6] |
Generators |
[-76059687808751383096659:-283865365628970486049207:42133184604858141873] |
Generators of the group modulo torsion |
j |
333367552811841625/15023662311968 |
j-invariant |
L |
5.677046226075 |
L(r)(E,1)/r! |
Ω |
0.078432262800179 |
Real period |
R |
36.190758900764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999821 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1426b2 |
Quadratic twists by: -31 |