Atkin-Lehner |
2- 31+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3658b |
Isogeny class |
Conductor |
3658 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
2184 |
Modular degree for the optimal curve |
Δ |
-814943872 = -1 · 27 · 31 · 593 |
Discriminant |
Eigenvalues |
2- 0 4 0 0 2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-208,-1741] |
[a1,a2,a3,a4,a6] |
j |
-990728800209/814943872 |
j-invariant |
L |
4.2529724806463 |
L(r)(E,1)/r! |
Ω |
0.60756749723518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29264h1 117056c1 32922a1 91450a1 |
Quadratic twists by: -4 8 -3 5 |