Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640cs |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
36 |
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] |
Generators |
[359:2304:1] |
Generators of the group modulo torsion |
j |
54005865593399/5806485000000 |
j-invariant |
L |
7.5659891800326 |
L(r)(E,1)/r! |
Ω |
0.12715024727221 |
Real period |
R |
1.6528978166937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640f1 14160u1 |
Quadratic twists by: -4 8 |