Atkin-Lehner |
2+ 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
39072a |
Isogeny class |
Conductor |
39072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-73323310906593792 = -1 · 29 · 310 · 116 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93208,-16989404] |
[a1,a2,a3,a4,a6] |
j |
-174911344578125000/143209591614441 |
j-invariant |
L |
2.1122936449101 |
L(r)(E,1)/r! |
Ω |
0.13201835280514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39072q2 78144bi2 117216bf2 |
Quadratic twists by: -4 8 -3 |