Atkin-Lehner |
2- 3+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19734n |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
64336037855232 = 214 · 3 · 114 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44302278,-113516195901] |
[a1,a2,a3,a4,a6] |
j |
9616164559515195081077238625/64336037855232 |
j-invariant |
L |
3.277034904135 |
L(r)(E,1)/r! |
Ω |
0.058518480430981 |
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 |
59202d2 |
Quadratic twists by: -3 |