Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
59760bp |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2665929513369600 = 218 · 310 · 52 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37947,1387114] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:900:1] |
Generators of the group modulo torsion |
j |
2023804595449/892814400 |
j-invariant |
L |
6.2513478655289 |
L(r)(E,1)/r! |
Ω |
0.40940207616082 |
Real period |
R |
3.8173645355972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000295 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7470o2 19920n2 |
Quadratic twists by: -4 -3 |