Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280s |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
451396800 = 26 · 38 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1460,21942] |
[a1,a2,a3,a4,a6] |
Generators |
[1642:23085:8] |
Generators of the group modulo torsion |
j |
5381455253824/7053075 |
j-invariant |
L |
6.141949795614 |
L(r)(E,1)/r! |
Ω |
1.6649023519894 |
Real period |
R |
3.6890750909674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280bj1 20640t3 123840bu1 |
Quadratic twists by: -4 8 -3 |