Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376bp |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1299700297728 = -1 · 212 · 39 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30000,2000752] |
[a1,a2,a3,a4,a6] |
Generators |
[89:189:1] |
Generators of the group modulo torsion |
j |
-1000000000000/435267 |
j-invariant |
L |
6.8126640310532 |
L(r)(E,1)/r! |
Ω |
0.84565923000296 |
Real period |
R |
0.67133661224939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2961g1 15792be1 |
Quadratic twists by: -4 -3 |