Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920dz |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
-2.3070391652747E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21302401,-44334359519] |
[a1,a2,a3,a4,a6] |
j |
-4078208988807294650401/880065599546327040 |
j-invariant |
L |
0.13894407291056 |
L(r)(E,1)/r! |
Ω |
0.034736018716848 |
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 |
73920cv1 18480da1 |
Quadratic twists by: -4 8 |