Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190bo |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1552320 |
Modular degree for the optimal curve |
Δ |
-7.0205500762444E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-893406,-518210307] |
[a1,a2,a3,a4,a6] |
Generators |
[345891979942269399546731962:-11923045661707072768207346917:191502639602454079920376] |
Generators of the group modulo torsion |
j |
-3040489341769/2706725970 |
j-invariant |
L |
6.2710395729104 |
L(r)(E,1)/r! |
Ω |
0.074868687256376 |
Real period |
R |
41.880255970271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190e1 |
Quadratic twists by: -11 |