Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21780z |
Isogeny class |
Conductor |
21780 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-8269593750000 = -1 · 24 · 37 · 59 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4983,28501] |
[a1,a2,a3,a4,a6] |
Generators |
[92:1125:1] |
Generators of the group modulo torsion |
j |
9695350016/5859375 |
j-invariant |
L |
5.5216546227613 |
L(r)(E,1)/r! |
Ω |
0.45209011286181 |
Real period |
R |
0.33926708572719 |
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 |
87120ga2 7260o2 108900ca2 21780w2 |
Quadratic twists by: -4 -3 5 -11 |