Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
45504bi |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-25476415488 = -1 · 214 · 39 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,420,6928] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:72:1] |
Generators of the group modulo torsion |
j |
686000/2133 |
j-invariant |
L |
5.4311370368277 |
L(r)(E,1)/r! |
Ω |
0.84150277364426 |
Real period |
R |
1.6135232131516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45504v1 11376j1 15168o1 |
Quadratic twists by: -4 8 -3 |