Atkin-Lehner |
2- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43700m |
Isogeny class |
Conductor |
43700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
17712 |
Modular degree for the optimal curve |
Δ |
69920000 = 28 · 54 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -6 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-800,-8700] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:2:1] |
Generators of the group modulo torsion |
j |
353894400/437 |
j-invariant |
L |
2.5567346230459 |
L(r)(E,1)/r! |
Ω |
0.89775795058074 |
Real period |
R |
0.94930362220682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43700g1 |
Quadratic twists by: 5 |