Atkin-Lehner |
2- 3+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18486r |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-299916864 = -1 · 26 · 33 · 133 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 6 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-371,2963] |
[a1,a2,a3,a4,a6] |
j |
-208633369491/11108032 |
j-invariant |
L |
6.8217813312759 |
L(r)(E,1)/r! |
Ω |
1.705445332819 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
18486d2 |
Quadratic twists by: -3 |