Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18228f |
Isogeny class |
Conductor |
18228 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1823442792192 = 28 · 32 · 77 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3348,-35496] |
[a1,a2,a3,a4,a6] |
j |
137842000/60543 |
j-invariant |
L |
1.3069439960958 |
L(r)(E,1)/r! |
Ω |
0.65347199804788 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912cb2 54684q2 2604b2 |
Quadratic twists by: -4 -3 -7 |