Atkin-Lehner |
2- 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18018bd |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-14625040674836592 = -1 · 24 · 38 · 78 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-81905,10756113] |
[a1,a2,a3,a4,a6] |
j |
-83353234419015625/20061784190448 |
j-invariant |
L |
3.0118345956073 |
L(r)(E,1)/r! |
Ω |
0.37647932445091 |
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 |
6006a1 126126ft1 |
Quadratic twists by: -3 -7 |