Atkin-Lehner |
2+ 3+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13158a |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18670080 |
Modular degree for the optimal curve |
Δ |
-4.2515673684345E+30 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 -3 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3854376480,-36857608219648] |
[a1,a2,a3,a4,a6] |
j |
321732413727591869108561898477/216002000123686212283138048 |
j-invariant |
L |
0.89500058894978 |
L(r)(E,1)/r! |
Ω |
0.01398438420234 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105264bb1 13158k1 |
Quadratic twists by: -4 -3 |