Atkin-Lehner |
2- 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
46350cl |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-16608043008000 = -1 · 216 · 39 · 53 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -2 -2 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45275,3724427] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:2170:1] [-1506:19595:8] |
Generators of the group modulo torsion |
j |
-112629603409757/182255616 |
j-invariant |
L |
12.01061290924 |
L(r)(E,1)/r! |
Ω |
0.69457635406331 |
Real period |
R |
0.13509373419424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450r1 46350bh1 |
Quadratic twists by: -3 5 |