Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57798bf |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7408194214708872 = -1 · 23 · 312 · 136 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,48640,-328597] |
[a1,a2,a3,a4,a6] |
Generators |
[999:31819:1] |
Generators of the group modulo torsion |
j |
3616805375/2105352 |
j-invariant |
L |
11.282147966886 |
L(r)(E,1)/r! |
Ω |
0.24707352106195 |
Real period |
R |
3.8052600424151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19266g2 342c2 |
Quadratic twists by: -3 13 |