Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280c |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
2972160000 = 212 · 33 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1481,22281] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:200:1] |
Generators of the group modulo torsion |
j |
87765160384/725625 |
j-invariant |
L |
4.9619206291595 |
L(r)(E,1)/r! |
Ω |
1.4333293431817 |
Real period |
R |
1.7309073636003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280bf1 20640x1 123840cn1 |
Quadratic twists by: -4 8 -3 |