Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
128160bl |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-4152384000 = -1 · 29 · 36 · 53 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 3 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-387,4266] |
[a1,a2,a3,a4,a6] |
Generators |
[22:80:1] |
Generators of the group modulo torsion |
j |
-17173512/11125 |
j-invariant |
L |
8.6964622979689 |
L(r)(E,1)/r! |
Ω |
1.2813432361999 |
Real period |
R |
2.2623296214277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128160t1 14240d1 |
Quadratic twists by: -4 -3 |