Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424cz |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
61461504 = 210 · 35 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80029,8687411] |
[a1,a2,a3,a4,a6] |
Generators |
[179:360:1] |
Generators of the group modulo torsion |
j |
55356847905445888/60021 |
j-invariant |
L |
4.9971681324235 |
L(r)(E,1)/r! |
Ω |
1.2446034243168 |
Real period |
R |
1.6060274412806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424o1 11856f1 |
Quadratic twists by: -4 8 |