Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
22560k |
Isogeny class |
Conductor |
22560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-2887680 = -1 · 212 · 3 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -6 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81,321] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:20:1] [5:4:1] |
Generators of the group modulo torsion |
j |
-14526784/705 |
j-invariant |
L |
6.0917077342361 |
L(r)(E,1)/r! |
Ω |
2.5150594094515 |
Real period |
R |
0.60552324443553 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22560t1 45120cu1 67680o1 112800bb1 |
Quadratic twists by: -4 8 -3 5 |