Atkin-Lehner |
2- 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47150h |
Isogeny class |
Conductor |
47150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
21689000000 = 26 · 56 · 232 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -2 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11363,465217] |
[a1,a2,a3,a4,a6] |
Generators |
[58:17:1] [-98:849:1] |
Generators of the group modulo torsion |
j |
10384488145513/1388096 |
j-invariant |
L |
8.8114756081485 |
L(r)(E,1)/r! |
Ω |
1.1648500767319 |
Real period |
R |
0.63037265368299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1886b1 |
Quadratic twists by: 5 |