Atkin-Lehner |
3+ 5- 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27435d |
Isogeny class |
Conductor |
27435 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
21262125 = 3 · 53 · 312 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 3 3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-75,-94] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-78:1] |
Generators of the group modulo torsion |
j |
47280848896/21262125 |
j-invariant |
L |
3.9750116695799 |
L(r)(E,1)/r! |
Ω |
1.6901937994752 |
Real period |
R |
0.39196803652676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82305f1 |
Quadratic twists by: -3 |