Atkin-Lehner |
3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18837b |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
13732173 = 38 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
2 3- 0 7+ 3 13+ 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,175] |
[a1,a2,a3,a4,a6] |
j |
64000000/18837 |
j-invariant |
L |
4.147049697197 |
L(r)(E,1)/r! |
Ω |
2.0735248485985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6279a1 |
Quadratic twists by: -3 |