Atkin-Lehner |
3- 13- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
83421x |
Isogeny class |
Conductor |
83421 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
143616 |
Modular degree for the optimal curve |
Δ |
58442166549 = 38 · 13 · 23 · 313 |
Discriminant |
Eigenvalues |
-2 3- 1 -5 -6 13- 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1407,16654] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:-140:1] |
Generators of the group modulo torsion |
j |
422550360064/80167581 |
j-invariant |
L |
1.917798525373 |
L(r)(E,1)/r! |
Ω |
1.0568240112971 |
Real period |
R |
0.30244684529782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999784246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27807e1 |
Quadratic twists by: -3 |