Atkin-Lehner |
3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165n |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
9959040 |
Modular degree for the optimal curve |
Δ |
4.362112917057E+24 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 2 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52652799,107362925191] |
[a1,a2,a3,a4,a6] |
j |
117099372095734561/31641960234375 |
j-invariant |
L |
2.9003555843194 |
L(r)(E,1)/r! |
Ω |
0.0725088896148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48165bb1 |
Quadratic twists by: 13 |