Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290ci |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7265394361890000 = 24 · 37 · 54 · 7 · 834 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10081292,-12317810241] |
[a1,a2,a3,a4,a6] |
Generators |
[-1833:941:1] |
Generators of the group modulo torsion |
j |
155433535504184151253369/9966247410000 |
j-invariant |
L |
10.854986997826 |
L(r)(E,1)/r! |
Ω |
0.084726742860209 |
Real period |
R |
2.0018375086212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430b3 |
Quadratic twists by: -3 |