Atkin-Lehner |
3+ 5- 31+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27435a |
Isogeny class |
Conductor |
27435 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
214337169931640625 = 38 · 510 · 312 · 592 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-154067,6691344] |
[a1,a2,a3,a4,a6] |
j |
404442694159615982521/214337169931640625 |
j-invariant |
L |
1.3838389892239 |
L(r)(E,1)/r! |
Ω |
0.27676779784492 |
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 |
82305c2 |
Quadratic twists by: -3 |