Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770l |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3071641500000 = 25 · 37 · 56 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5850,151636] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:581:1] |
Generators of the group modulo torsion |
j |
30374248413601/4213500000 |
j-invariant |
L |
2.5629306857101 |
L(r)(E,1)/r! |
Ω |
0.76890755144658 |
Real period |
R |
0.83330261254697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38160bo2 1590n2 23850cf2 |
Quadratic twists by: -4 -3 5 |