Atkin-Lehner |
2- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
83942m |
Isogeny class |
Conductor |
83942 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-4606065424 = -1 · 24 · 194 · 472 |
Discriminant |
Eigenvalues |
2- -2 -1 -2 -2 -5 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-751,-8631] |
[a1,a2,a3,a4,a6] |
Generators |
[32:3:1] [446:2589:8] |
Generators of the group modulo torsion |
j |
-21207230161/2085136 |
j-invariant |
L |
9.6584775047274 |
L(r)(E,1)/r! |
Ω |
0.45346162154894 |
Real period |
R |
1.3312148490071 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83942i1 |
Quadratic twists by: -47 |