Atkin-Lehner |
2+ 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18126a |
Isogeny class |
Conductor |
18126 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-98156432026638 = -1 · 2 · 39 · 196 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 -4 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11406,83114] |
[a1,a2,a3,a4,a6] |
Generators |
[5:372:1] [83:1222:1] |
Generators of the group modulo torsion |
j |
8337024993933/4986863386 |
j-invariant |
L |
4.4498916285895 |
L(r)(E,1)/r! |
Ω |
0.36657200028214 |
Real period |
R |
4.0464007299751 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18126j2 |
Quadratic twists by: -3 |