Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560ce |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
7331015924121600000 = 230 · 310 · 55 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112399788,-458665774288] |
[a1,a2,a3,a4,a6] |
Generators |
[6116083976463707391471325067509309901529789412428740844878:-5706341118564601912676779503915296692989002520872235328962560:7024900119126713124150628852160375865176190480143701] |
Generators of the group modulo torsion |
j |
821774646379511057449/38361600000 |
j-invariant |
L |
8.2637549587194 |
L(r)(E,1)/r! |
Ω |
0.046366913033766 |
Real period |
R |
89.112628265926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999863094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560fi1 3330x1 35520s1 |
Quadratic twists by: -4 8 -3 |