Atkin-Lehner |
2- 3+ 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
52440n |
Isogeny class |
Conductor |
52440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1321185945600 = 211 · 310 · 52 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18240,-940500] |
[a1,a2,a3,a4,a6] |
Generators |
[65045:1426302:125] |
Generators of the group modulo torsion |
j |
327711794094722/645110325 |
j-invariant |
L |
3.949351652532 |
L(r)(E,1)/r! |
Ω |
0.4108589210841 |
Real period |
R |
9.6124276482422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104880v2 |
Quadratic twists by: -4 |