Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
27380d |
Isogeny class |
Conductor |
27380 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-10262905636000000 = -1 · 28 · 56 · 376 |
Discriminant |
Eigenvalues |
2- -2 5- 2 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49740,-6496412] |
[a1,a2,a3,a4,a6] |
Generators |
[308:2738:1] |
Generators of the group modulo torsion |
j |
-20720464/15625 |
j-invariant |
L |
4.387915796656 |
L(r)(E,1)/r! |
Ω |
0.1547748043695 |
Real period |
R |
1.5750179805251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109520y4 20a3 |
Quadratic twists by: -4 37 |