Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888bf |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
10334476113984 = 26 · 38 · 114 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44661,3629500] |
[a1,a2,a3,a4,a6] |
Generators |
[152:-594:1] [117:76:1] |
Generators of the group modulo torsion |
j |
211155082374592/221503689 |
j-invariant |
L |
11.058354915135 |
L(r)(E,1)/r! |
Ω |
0.71961557703467 |
Real period |
R |
3.8417577631291 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999972586 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129888f1 43296o1 |
Quadratic twists by: -4 -3 |