Atkin-Lehner |
2+ 3- 11+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21318j |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
262405137984 = 26 · 3 · 114 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5512,-156010] |
[a1,a2,a3,a4,a6] |
Generators |
[1050:33415:1] |
Generators of the group modulo torsion |
j |
18515612033840377/262405137984 |
j-invariant |
L |
4.5083729406827 |
L(r)(E,1)/r! |
Ω |
0.55456740687948 |
Real period |
R |
2.7098436756024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63954y1 |
Quadratic twists by: -3 |