Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296ct |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-716029237346304 = -1 · 214 · 3 · 79 · 192 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16296,-1002732] |
[a1,a2,a3,a4,a6] |
j |
323648023823/484243284 |
j-invariant |
L |
4.8390068843627 |
L(r)(E,1)/r! |
Ω |
0.26883377608677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162h2 121296bt2 |
Quadratic twists by: -4 -19 |