Atkin-Lehner |
3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
92169bj |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
-43038211412889 = -1 · 36 · 710 · 11 · 19 |
Discriminant |
Eigenvalues |
1 3- -1 7- 11- -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450,315769] |
[a1,a2,a3,a4,a6] |
Generators |
[-474240:1012103:6859] |
Generators of the group modulo torsion |
j |
-49/209 |
j-invariant |
L |
5.4954973925592 |
L(r)(E,1)/r! |
Ω |
0.51486789696475 |
Real period |
R |
10.673606604689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10241d1 92169g1 |
Quadratic twists by: -3 -7 |