Atkin-Lehner |
2+ 3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47328m |
Isogeny class |
Conductor |
47328 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-107708417224704 = -1 · 212 · 37 · 17 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 3 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46189,-3868741] |
[a1,a2,a3,a4,a6] |
Generators |
[505:10092:1] |
Generators of the group modulo torsion |
j |
-2660656725586432/26296000299 |
j-invariant |
L |
9.2867489396474 |
L(r)(E,1)/r! |
Ω |
0.16273396143926 |
Real period |
R |
2.038109329204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47328f1 94656bn1 |
Quadratic twists by: -4 8 |