Atkin-Lehner |
2- 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
5418m |
Isogeny class |
Conductor |
5418 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
374804301816 = 23 · 33 · 79 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 6 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1811,3899] |
[a1,a2,a3,a4,a6] |
j |
24315906142611/13881640808 |
j-invariant |
L |
4.902364183601 |
L(r)(E,1)/r! |
Ω |
0.81706069726683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
43344q1 5418c2 37926bg1 |
Quadratic twists by: -4 -3 -7 |