Atkin-Lehner |
2- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
22720bi |
Isogeny class |
Conductor |
22720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-2908160000 = -1 · 216 · 54 · 71 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172,-2736] |
[a1,a2,a3,a4,a6] |
Generators |
[28:120:1] |
Generators of the group modulo torsion |
j |
-8586756/44375 |
j-invariant |
L |
4.1359366291238 |
L(r)(E,1)/r! |
Ω |
0.59411038967334 |
Real period |
R |
1.7403906332112 |
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 |
22720s1 5680b1 113600bw1 |
Quadratic twists by: -4 8 5 |