Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81900bk |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
321408 |
Modular degree for the optimal curve |
Δ |
-422579430000 = -1 · 24 · 36 · 54 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-267825,53348825] |
[a1,a2,a3,a4,a6] |
Generators |
[271:-819:1] |
Generators of the group modulo torsion |
j |
-291440245830400/57967 |
j-invariant |
L |
6.3051210561427 |
L(r)(E,1)/r! |
Ω |
0.7461147137085 |
Real period |
R |
0.23473903972016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9100k1 81900p1 |
Quadratic twists by: -3 5 |