Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
21360p |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6569994240000 = 214 · 34 · 54 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-213600,37925748] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2160:1] |
Generators of the group modulo torsion |
j |
263129501187842401/1604002500 |
j-invariant |
L |
5.5981658969336 |
L(r)(E,1)/r! |
Ω |
0.66856038509999 |
Real period |
R |
1.0466829215614 |
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 |
2670d2 85440bd2 64080u2 106800bj2 |
Quadratic twists by: -4 8 -3 5 |