Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24024o |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-644427159247872 = -1 · 210 · 312 · 72 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5552,-1233552] |
[a1,a2,a3,a4,a6] |
Generators |
[292:4704:1] |
Generators of the group modulo torsion |
j |
-18486314981572/629323397703 |
j-invariant |
L |
7.7245575263072 |
L(r)(E,1)/r! |
Ω |
0.22318802579379 |
Real period |
R |
2.8841741168812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048e1 72072bp1 |
Quadratic twists by: -4 -3 |