Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440x |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
126743823360 = 210 · 38 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56523,5172298] |
[a1,a2,a3,a4,a6] |
Generators |
[-247:2016:1] [131:126:1] |
Generators of the group modulo torsion |
j |
26752959989284/169785 |
j-invariant |
L |
9.6404288318589 |
L(r)(E,1)/r! |
Ω |
0.93016308578021 |
Real period |
R |
0.86368625201659 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720e1 18480be1 |
Quadratic twists by: -4 -3 |