Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
5418c |
Isogeny class |
Conductor |
5418 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
1472628654 = 2 · 33 · 73 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -6 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10491,416223] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:507:1] |
Generators of the group modulo torsion |
j |
4729703265220779/54541802 |
j-invariant |
L |
2.1762241202017 |
L(r)(E,1)/r! |
Ω |
1.3722906883234 |
Real period |
R |
0.79291659512044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
43344r1 5418m2 37926e1 |
Quadratic twists by: -4 -3 -7 |