Atkin-Lehner |
2+ 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27550b |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
2.88882688E+19 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 -3 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1343126,540340648] |
[a1,a2,a3,a4,a6] |
Generators |
[6519:406327:27] |
Generators of the group modulo torsion |
j |
17149580054508056401/1848849203200000 |
j-invariant |
L |
3.7257777542028 |
L(r)(E,1)/r! |
Ω |
0.2033785604941 |
Real period |
R |
2.2899277984065 |
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 |
5510j1 |
Quadratic twists by: 5 |