Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920cv |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
48 |
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 |
4.5554082516363 |
L(r)(E,1)/r! |
Ω |
0.094904338630778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920dz1 2310o1 |
Quadratic twists by: -4 8 |