Atkin-Lehner |
2+ 3- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45816c |
Isogeny class |
Conductor |
45816 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
68449104 = 24 · 33 · 23 · 832 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-179,-894] |
[a1,a2,a3,a4,a6] |
j |
39864543232/4278069 |
j-invariant |
L |
3.9410687236756 |
L(r)(E,1)/r! |
Ω |
1.3136895745131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91632e1 |
Quadratic twists by: -4 |