Atkin-Lehner |
3- 17+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66861h |
Isogeny class |
Conductor |
66861 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-124562043 = -1 · 36 · 17 · 19 · 232 |
Discriminant |
Eigenvalues |
0 3- -4 2 -4 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-192,1156] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-12:1] |
Generators of the group modulo torsion |
j |
-1073741824/170867 |
j-invariant |
L |
2.8589791720115 |
L(r)(E,1)/r! |
Ω |
1.7915855762416 |
Real period |
R |
0.79789076497118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7429a1 |
Quadratic twists by: -3 |