Atkin-Lehner |
2- 3- 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290bp |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
3172608439222500 = 22 · 312 · 54 · 23 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-451787,-116737801] |
[a1,a2,a3,a4,a6] |
Generators |
[414057:11147704:343] |
Generators of the group modulo torsion |
j |
13989315758505942889/4352000602500 |
j-invariant |
L |
12.041004742591 |
L(r)(E,1)/r! |
Ω |
0.18415109485025 |
Real period |
R |
8.1733187239801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008258 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430j1 |
Quadratic twists by: -3 |