Atkin-Lehner |
2+ 5- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
80560c |
Isogeny class |
Conductor |
80560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-128896000 = -1 · 210 · 53 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -3 -5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-160,900] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:40:1] [10:20:1] |
Generators of the group modulo torsion |
j |
-445138564/125875 |
j-invariant |
L |
7.1472178884657 |
L(r)(E,1)/r! |
Ω |
1.7574777394439 |
Real period |
R |
0.33889561007816 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40280f1 |
Quadratic twists by: -4 |