Atkin-Lehner |
2- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6110b |
Isogeny class |
Conductor |
6110 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
621206144000 = 210 · 53 · 133 · 472 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6223,186647] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:632:1] |
Generators of the group modulo torsion |
j |
26647574595656769/621206144000 |
j-invariant |
L |
5.4524033296341 |
L(r)(E,1)/r! |
Ω |
0.91232195045355 |
Real period |
R |
0.39842684386606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48880n1 54990s1 30550a1 79430f1 |
Quadratic twists by: -4 -3 5 13 |