Atkin-Lehner |
2+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440bc |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
137768960000 = 215 · 54 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 0 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-186625,-30969375] |
[a1,a2,a3,a4,a6] |
j |
21937420828721672/4204375 |
j-invariant |
L |
3.6751654259335 |
L(r)(E,1)/r! |
Ω |
0.22969783963351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440cb2 34720c2 |
Quadratic twists by: -4 8 |