Atkin-Lehner |
3- 13- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
83421v |
Isogeny class |
Conductor |
83421 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
44536052691 = 37 · 134 · 23 · 31 |
Discriminant |
Eigenvalues |
-1 3- -1 5 -1 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1868,29828] |
[a1,a2,a3,a4,a6] |
Generators |
[9:112:1] |
Generators of the group modulo torsion |
j |
988345570681/61091979 |
j-invariant |
L |
4.9713243007034 |
L(r)(E,1)/r! |
Ω |
1.1189373036881 |
Real period |
R |
0.5553622483306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27807l1 |
Quadratic twists by: -3 |