Atkin-Lehner |
2- 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536y |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6106484736 = 212 · 32 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-632,5040] |
[a1,a2,a3,a4,a6] |
j |
6826561273/1490841 |
j-invariant |
L |
2.535267556049 |
L(r)(E,1)/r! |
Ω |
1.2676337780245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1221a2 78144cu2 58608bh2 |
Quadratic twists by: -4 8 -3 |