Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
86240bz |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
13779992072000 = 26 · 53 · 76 · 114 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6190,-54900] |
[a1,a2,a3,a4,a6] |
Generators |
[90:330:1] |
Generators of the group modulo torsion |
j |
3484156096/1830125 |
j-invariant |
L |
11.13768074413 |
L(r)(E,1)/r! |
Ω |
0.57067053753128 |
Real period |
R |
1.6264026281981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86240m1 1760i1 |
Quadratic twists by: -4 -7 |