Atkin-Lehner |
2+ 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640f |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-1522135203840000000 = -1 · 224 · 39 · 57 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 2 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,50399,59181985] |
[a1,a2,a3,a4,a6] |
j |
54005865593399/5806485000000 |
j-invariant |
L |
0.41151837138119 |
L(r)(E,1)/r! |
Ω |
0.2057591856115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640cs1 1770d1 |
Quadratic twists by: -4 8 |