Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280cg |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
17119641600 = 216 · 35 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13985,641217] |
[a1,a2,a3,a4,a6] |
Generators |
[37:416:1] |
Generators of the group modulo torsion |
j |
4615962240676/261225 |
j-invariant |
L |
5.4192106191116 |
L(r)(E,1)/r! |
Ω |
1.1659787678129 |
Real period |
R |
2.3238890658704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280bt1 10320m1 123840em1 |
Quadratic twists by: -4 8 -3 |