Atkin-Lehner |
2- 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
47450w |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4623360 |
Modular degree for the optimal curve |
Δ |
2.675094776744E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 0 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-163427063,804130808617] |
[a1,a2,a3,a4,a6] |
Generators |
[7282:-18291:1] |
Generators of the group modulo torsion |
j |
30894104702580488978080681/1712060657116160 |
j-invariant |
L |
6.0783333602722 |
L(r)(E,1)/r! |
Ω |
0.15870751380061 |
Real period |
R |
3.8298964016961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490c1 |
Quadratic twists by: 5 |