Atkin-Lehner |
2+ 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
5418a |
Isogeny class |
Conductor |
5418 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
48534183936 = 213 · 39 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 6 5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-960,-4096] |
[a1,a2,a3,a4,a6] |
j |
4973940243/2465792 |
j-invariant |
L |
1.8050438137978 |
L(r)(E,1)/r! |
Ω |
0.90252190689892 |
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 |
43344t1 5418k1 37926c1 |
Quadratic twists by: -4 -3 -7 |