Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162bl |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10299996706906242 = 2 · 312 · 78 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -6 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3426579,-2440540341] |
[a1,a2,a3,a4,a6] |
j |
51878840608939681/120094002 |
j-invariant |
L |
0.44385836917226 |
L(r)(E,1)/r! |
Ω |
0.11096459229638 |
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 |
12054bi2 5166k2 |
Quadratic twists by: -3 -7 |