Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190l |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
5174400 |
Modular degree for the optimal curve |
Δ |
-1.9340358336761E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,12953653,11216142909] |
[a1,a2,a3,a4,a6] |
Generators |
[-797:20061:1] |
Generators of the group modulo torsion |
j |
1121395878788998439/902241990000000 |
j-invariant |
L |
3.7715517814473 |
L(r)(E,1)/r! |
Ω |
0.064917980709808 |
Real period |
R |
2.7665325063155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190by1 |
Quadratic twists by: -11 |