Atkin-Lehner |
2- 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
5340c |
Isogeny class |
Conductor |
5340 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
46714320 = 24 · 38 · 5 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-121,-436] |
[a1,a2,a3,a4,a6] |
j |
12346507264/2919645 |
j-invariant |
L |
2.926211078022 |
L(r)(E,1)/r! |
Ω |
1.463105539011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21360h1 85440l1 16020d1 26700b1 |
Quadratic twists by: -4 8 -3 5 |