Atkin-Lehner |
2+ 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640b |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-3058560000 = -1 · 210 · 34 · 54 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-221,3021] |
[a1,a2,a3,a4,a6] |
j |
-1171019776/2986875 |
j-invariant |
L |
2.5149197120913 |
L(r)(E,1)/r! |
Ω |
1.2574598557696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640cn1 7080f1 |
Quadratic twists by: -4 8 |