Atkin-Lehner |
2- 3- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8142g |
Isogeny class |
Conductor |
8142 |
Conductor |
∏ cp |
1092 |
Product of Tamagawa factors cp |
deg |
891072 |
Modular degree for the optimal curve |
Δ |
2.1884862025474E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18037854,-19050608700] |
[a1,a2,a3,a4,a6] |
Generators |
[-3492:38610:1] |
Generators of the group modulo torsion |
j |
649050241411873013006098657/218848620254738264358912 |
j-invariant |
L |
6.5944489023581 |
L(r)(E,1)/r! |
Ω |
0.075252727807707 |
Real period |
R |
0.32099155988807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65136p1 24426g1 |
Quadratic twists by: -4 -3 |