Atkin-Lehner |
2+ 3+ 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330c |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-88079063040000 = -1 · 214 · 39 · 54 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28554,-1904140] |
[a1,a2,a3,a4,a6] |
j |
-130810269544947/4474880000 |
j-invariant |
L |
0.7330597782477 |
L(r)(E,1)/r! |
Ω |
0.1832649445678 |
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 |
39330bf1 |
Quadratic twists by: -3 |