Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27735g |
Isogeny class |
Conductor |
27735 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-22223541969140625 = -1 · 32 · 58 · 436 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,64676,3376247] |
[a1,a2,a3,a4,a6] |
Generators |
[2325144458:54653658487:6028568] |
Generators of the group modulo torsion |
j |
4733169839/3515625 |
j-invariant |
L |
6.3111687400608 |
L(r)(E,1)/r! |
Ω |
0.24342465677964 |
Real period |
R |
12.963289798893 |
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 |
83205u5 15a4 |
Quadratic twists by: -3 -43 |