Atkin-Lehner |
2- 3- 37- 53- |
Signs for the Atkin-Lehner involutions |
Class |
94128n |
Isogeny class |
Conductor |
94128 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
197184 |
Modular degree for the optimal curve |
Δ |
-800375655168 = -1 · 28 · 313 · 37 · 53 |
Discriminant |
Eigenvalues |
2- 3- -4 1 -6 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2125,56519] |
[a1,a2,a3,a4,a6] |
Generators |
[35:162:1] |
Generators of the group modulo torsion |
j |
-4147294806016/3126467403 |
j-invariant |
L |
5.3944179436258 |
L(r)(E,1)/r! |
Ω |
0.82235039346681 |
Real period |
R |
0.25229830853343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23532b1 |
Quadratic twists by: -4 |