Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21560r |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-1.3840246465334E+21 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2544913,872887666] |
[a1,a2,a3,a4,a6] |
Generators |
[1002:66550:1] |
Generators of the group modulo torsion |
j |
60522147178827696/45953185114375 |
j-invariant |
L |
5.154125653937 |
L(r)(E,1)/r! |
Ω |
0.097293660898024 |
Real period |
R |
1.6554668125228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43120q1 107800l1 3080c1 |
Quadratic twists by: -4 5 -7 |