Atkin-Lehner |
3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18837a |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36111037599 = 37 · 74 · 13 · 232 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1661,24806] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:223:1] [-18:229:1] |
Generators of the group modulo torsion |
j |
694800198793/49535031 |
j-invariant |
L |
4.2149274339047 |
L(r)(E,1)/r! |
Ω |
1.1350166294034 |
Real period |
R |
0.92838451100972 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6279h2 |
Quadratic twists by: -3 |