Atkin-Lehner |
2+ 3- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113088p |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
162799078084706304 = 224 · 312 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 2 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-384929,89720511] |
[a1,a2,a3,a4,a6] |
j |
24061727981584873/621029198016 |
j-invariant |
L |
3.8662992528103 |
L(r)(E,1)/r! |
Ω |
0.32219163256522 |
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 |
113088w2 3534a2 |
Quadratic twists by: -4 8 |