Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
59760bp |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8130282024960000 = 215 · 314 · 54 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-516027,142611946] |
[a1,a2,a3,a4,a6] |
Generators |
[-793:7290:1] |
Generators of the group modulo torsion |
j |
5089246809796729/2722815000 |
j-invariant |
L |
6.2513478655289 |
L(r)(E,1)/r! |
Ω |
0.40940207616082 |
Real period |
R |
1.9086822677986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000295 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7470o3 19920n3 |
Quadratic twists by: -4 -3 |