Atkin-Lehner |
2- 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
5418k |
Isogeny class |
Conductor |
5418 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
66576384 = 213 · 33 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -6 5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-107,187] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:26:1] |
Generators of the group modulo torsion |
j |
4973940243/2465792 |
j-invariant |
L |
5.7840381248381 |
L(r)(E,1)/r! |
Ω |
1.7353412067086 |
Real period |
R |
0.12819554099301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43344s1 5418a1 37926bd1 |
Quadratic twists by: -4 -3 -7 |