Atkin-Lehner |
2+ 3- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290q |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2110549592917224900 = 22 · 312 · 52 · 78 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1013670,-386297600] |
[a1,a2,a3,a4,a6] |
Generators |
[3182231:73964753:2197] |
Generators of the group modulo torsion |
j |
158010593914399655521/2895129757088100 |
j-invariant |
L |
3.6790206280011 |
L(r)(E,1)/r! |
Ω |
0.1506289541146 |
Real period |
R |
6.10609801012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000159 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17430w2 |
Quadratic twists by: -3 |