Atkin-Lehner |
2- 3+ 11- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19734q |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
200240621566128 = 24 · 37 · 112 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-185048,30554345] |
[a1,a2,a3,a4,a6] |
j |
700772491727232522625/200240621566128 |
j-invariant |
L |
4.4162180665294 |
L(r)(E,1)/r! |
Ω |
0.55202725831617 |
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 |
59202l2 |
Quadratic twists by: -3 |