Atkin-Lehner |
2- 3- 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
47430bl |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
29535989040 = 24 · 36 · 5 · 17 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3542,-79819] |
[a1,a2,a3,a4,a6] |
j |
6739487929369/40515760 |
j-invariant |
L |
7.4290878060491 |
L(r)(E,1)/r! |
Ω |
0.61909065053484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5270b1 |
Quadratic twists by: -3 |