Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21560u |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-637751699200 = -1 · 28 · 52 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2140,4292] |
[a1,a2,a3,a4,a6] |
Generators |
[124:1470:1] |
Generators of the group modulo torsion |
j |
35969456/21175 |
j-invariant |
L |
8.0224519400053 |
L(r)(E,1)/r! |
Ω |
0.55396257733811 |
Real period |
R |
0.90512115215376 |
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 |
43120t1 107800r1 3080d1 |
Quadratic twists by: -4 5 -7 |