Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296cj |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
12237216264290304 = 216 · 34 · 72 · 196 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-485304,130180464] |
[a1,a2,a3,a4,a6] |
j |
65597103937/63504 |
j-invariant |
L |
1.5946439194968 |
L(r)(E,1)/r! |
Ω |
0.39866116449511 |
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 |
15162l2 336d2 |
Quadratic twists by: -4 -19 |