Atkin-Lehner |
2- 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
45540z |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-6941441422080 = -1 · 28 · 311 · 5 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4152,163316] |
[a1,a2,a3,a4,a6] |
j |
-42415857664/37194795 |
j-invariant |
L |
4.1005285578033 |
L(r)(E,1)/r! |
Ω |
0.68342142628407 |
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 |
15180a1 |
Quadratic twists by: -3 |