Atkin-Lehner |
3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165x |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1698916097775 = 3 · 52 · 137 · 192 |
Discriminant |
Eigenvalues |
1 3- 5- 0 0 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34818,-2502719] |
[a1,a2,a3,a4,a6] |
Generators |
[64299:3095858:27] |
Generators of the group modulo torsion |
j |
967068262369/351975 |
j-invariant |
L |
9.5217360605742 |
L(r)(E,1)/r! |
Ω |
0.34950997886164 |
Real period |
R |
6.8107755403472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3705g2 |
Quadratic twists by: 13 |