Atkin-Lehner |
2+ 3- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113088n |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
794286686208 = 216 · 3 · 194 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8417,291327] |
[a1,a2,a3,a4,a6] |
j |
1006392425188/12119853 |
j-invariant |
L |
1.7969754924417 |
L(r)(E,1)/r! |
Ω |
0.8984880302568 |
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 |
113088t4 14136b3 |
Quadratic twists by: -4 8 |