Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16560cb |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
341783850516480 = 224 · 311 · 5 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86907,-9821014] |
[a1,a2,a3,a4,a6] |
Generators |
[-88760:95893:512] |
Generators of the group modulo torsion |
j |
24310870577209/114462720 |
j-invariant |
L |
4.8494614775472 |
L(r)(E,1)/r! |
Ω |
0.27813709830313 |
Real period |
R |
8.7177537752659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2070q1 66240ev1 5520m1 82800cy1 |
Quadratic twists by: -4 8 -3 5 |