Atkin-Lehner |
2+ 3+ 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45816b |
Isogeny class |
Conductor |
45816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18176 |
Modular degree for the optimal curve |
Δ |
-3344659632 = -1 · 24 · 32 · 234 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,73,2748] |
[a1,a2,a3,a4,a6] |
j |
2652219392/209041227 |
j-invariant |
L |
1.0794535324426 |
L(r)(E,1)/r! |
Ω |
1.0794535325606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91632h1 |
Quadratic twists by: -4 |