Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21560m |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-3977251505920 = -1 · 28 · 5 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2303,-104958] |
[a1,a2,a3,a4,a6] |
Generators |
[413:8330:1] |
Generators of the group modulo torsion |
j |
-44851536/132055 |
j-invariant |
L |
4.1943486275336 |
L(r)(E,1)/r! |
Ω |
0.31877992645014 |
Real period |
R |
3.2893763687075 |
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 |
43120i1 107800i1 3080e1 |
Quadratic twists by: -4 5 -7 |