Atkin-Lehner |
3- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045br |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
3841054013671875 = 36 · 510 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-207587,36333424] |
[a1,a2,a3,a4,a6] |
Generators |
[232:671:1] |
Generators of the group modulo torsion |
j |
1357046347029907689/5268935546875 |
j-invariant |
L |
4.1010872749596 |
L(r)(E,1)/r! |
Ω |
0.44350979037344 |
Real period |
R |
0.15411487201903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5005a2 |
Quadratic twists by: -3 |