Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440q |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
13977600 |
Modular degree for the optimal curve |
Δ |
-5.0149059063469E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -4 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-331406508,-2322396693668] |
[a1,a2,a3,a4,a6] |
Generators |
[4493856664307:498531656993391:163667323] |
Generators of the group modulo torsion |
j |
-21569462179645467300176896/2687170946044921875 |
j-invariant |
L |
5.049570190908 |
L(r)(E,1)/r! |
Ω |
0.017691964317929 |
Real period |
R |
20.386859174215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27720be1 18480bi1 |
Quadratic twists by: -4 -3 |