Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
5418h |
Isogeny class |
Conductor |
5418 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
4227866689536 = 217 · 37 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -2 -5 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52983,-4679843] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:98:1] |
Generators of the group modulo torsion |
j |
22563705894034033/5799542784 |
j-invariant |
L |
3.4396376200871 |
L(r)(E,1)/r! |
Ω |
0.31468187762201 |
Real period |
R |
0.91087694819495 |
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 |
43344bf1 1806k1 37926u1 |
Quadratic twists by: -4 -3 -7 |