Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344bx |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
789185877513486336 = 214 · 310 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-269724,-32867120] |
[a1,a2,a3,a4,a6] |
j |
37642192/13689 |
j-invariant |
L |
0.86343449707091 |
L(r)(E,1)/r! |
Ω |
0.21585857948878 |
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 |
97344fg2 12168f2 32448bm2 7488s2 |
Quadratic twists by: -4 8 -3 13 |