Atkin-Lehner |
2- 5- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
45560g |
Isogeny class |
Conductor |
45560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82432 |
Modular degree for the optimal curve |
Δ |
48840320000 = 210 · 54 · 17 · 672 |
Discriminant |
Eigenvalues |
2- 2 5- 4 -6 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3720,87932] |
[a1,a2,a3,a4,a6] |
Generators |
[29:60:1] |
Generators of the group modulo torsion |
j |
5561210265124/47695625 |
j-invariant |
L |
9.648975423528 |
L(r)(E,1)/r! |
Ω |
1.1350111026237 |
Real period |
R |
2.1253041933313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91120g1 |
Quadratic twists by: -4 |