Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18032l |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
237602038016 = 28 · 79 · 23 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 4 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2172,-30400] |
[a1,a2,a3,a4,a6] |
Generators |
[4412100:95725720:9261] |
Generators of the group modulo torsion |
j |
109744/23 |
j-invariant |
L |
8.2422456330165 |
L(r)(E,1)/r! |
Ω |
0.70965058827241 |
Real period |
R |
11.614512506897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9016d1 72128ce1 18032n1 |
Quadratic twists by: -4 8 -7 |