Atkin-Lehner |
2- 3+ 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21012b |
Isogeny class |
Conductor |
21012 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-655826544 = -1 · 24 · 34 · 173 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 3 5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1126,14977] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:153:1] |
Generators of the group modulo torsion |
j |
-9876533488384/40989159 |
j-invariant |
L |
4.1817975322177 |
L(r)(E,1)/r! |
Ω |
1.6253885029501 |
Real period |
R |
0.14293326469428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84048y1 63036b1 |
Quadratic twists by: -4 -3 |