Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21780y |
Isogeny class |
Conductor |
21780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
103317437520 = 24 · 36 · 5 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1452,14641] |
[a1,a2,a3,a4,a6] |
Generators |
[0:121:1] |
Generators of the group modulo torsion |
j |
16384/5 |
j-invariant |
L |
4.8942834696182 |
L(r)(E,1)/r! |
Ω |
0.98332120850357 |
Real period |
R |
0.82954979974896 |
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 |
87120fz1 2420e1 108900bx1 180a1 |
Quadratic twists by: -4 -3 5 -11 |