Atkin-Lehner |
2- 3+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
54672u |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
2256285874814976 = 215 · 3 · 17 · 675 |
Discriminant |
Eigenvalues |
2- 3+ 3 5 -1 -7 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41344,-2276864] |
[a1,a2,a3,a4,a6] |
Generators |
[2000:88944:1] |
Generators of the group modulo torsion |
j |
1908146629143937/550851043656 |
j-invariant |
L |
7.8684492767759 |
L(r)(E,1)/r! |
Ω |
0.34218851981798 |
Real period |
R |
5.7486216084422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834w1 |
Quadratic twists by: -4 |