Atkin-Lehner |
3+ 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
5133a |
Isogeny class |
Conductor |
5133 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
3630473373 = 3 · 295 · 59 |
Discriminant |
Eigenvalues |
2 3+ 0 -1 0 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-678,6377] |
[a1,a2,a3,a4,a6] |
Generators |
[170:263:8] |
Generators of the group modulo torsion |
j |
34518601216000/3630473373 |
j-invariant |
L |
6.0838411485448 |
L(r)(E,1)/r! |
Ω |
1.3604663830224 |
Real period |
R |
4.4718790735783 |
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 |
82128ba1 15399d1 128325o1 |
Quadratic twists by: -4 -3 5 |