Atkin-Lehner |
2- 3- 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470bo |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-18684999000000 = -1 · 26 · 36 · 56 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5255,254025] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:445:1] |
Generators of the group modulo torsion |
j |
-16048965315233521/18684999000000 |
j-invariant |
L |
9.9231639173149 |
L(r)(E,1)/r! |
Ω |
0.62340687930068 |
Real period |
R |
1.3264696844068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
121410g1 |
Quadratic twists by: -3 |