Atkin-Lehner |
2- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
22720bj |
Isogeny class |
Conductor |
22720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
60988535603200 = 235 · 52 · 71 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -2 1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26625,-1620575] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:80:1] |
Generators of the group modulo torsion |
j |
7962857630209/232652800 |
j-invariant |
L |
4.4099040759832 |
L(r)(E,1)/r! |
Ω |
0.37441359535615 |
Real period |
R |
2.9445405633497 |
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 |
22720t1 5680f1 113600by1 |
Quadratic twists by: -4 8 5 |