Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160s |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
667724960000 = 28 · 54 · 73 · 233 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28156,1827456] |
[a1,a2,a3,a4,a6] |
Generators |
[33:966:1] |
Generators of the group modulo torsion |
j |
28113694476208/7604375 |
j-invariant |
L |
8.559102649984 |
L(r)(E,1)/r! |
Ω |
0.88708683900295 |
Real period |
R |
1.6080918410042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45080b1 90160bk1 |
Quadratic twists by: -4 -7 |