Atkin-Lehner |
2- 3- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
44520w |
Isogeny class |
Conductor |
44520 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
743091511680000 = 210 · 310 · 54 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89040,10112400] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3180:1] |
Generators of the group modulo torsion |
j |
76240210544850244/725675304375 |
j-invariant |
L |
7.7327967556 |
L(r)(E,1)/r! |
Ω |
0.50856789277946 |
Real period |
R |
0.38012607880856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999903 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89040i2 |
Quadratic twists by: -4 |