Atkin-Lehner |
2- 3- 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
72756c |
Isogeny class |
Conductor |
72756 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
23572944 = 24 · 36 · 43 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 2 4 0 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,997] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:36:1] |
Generators of the group modulo torsion |
j |
67108864/2021 |
j-invariant |
L |
8.477982122405 |
L(r)(E,1)/r! |
Ω |
2.1242764018099 |
Real period |
R |
1.9954988235634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8084a1 |
Quadratic twists by: -3 |