Atkin-Lehner |
3- 7- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
56637h |
Isogeny class |
Conductor |
56637 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
2081801055033 = 39 · 76 · 29 · 31 |
Discriminant |
Eigenvalues |
1 3- 4 7- 6 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5580,146043] |
[a1,a2,a3,a4,a6] |
Generators |
[782:5419:8] |
Generators of the group modulo torsion |
j |
26359827238081/2855694177 |
j-invariant |
L |
10.599866936083 |
L(r)(E,1)/r! |
Ω |
0.80062970130392 |
Real period |
R |
4.4131375252701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18879f1 |
Quadratic twists by: -3 |