Atkin-Lehner |
2+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13858f |
Isogeny class |
Conductor |
13858 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8910720 |
Modular degree for the optimal curve |
Δ |
-5.2870952326659E+23 |
Discriminant |
Eigenvalues |
2+ -1 -4 -4 0 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1148608672,-14983777166080] |
[a1,a2,a3,a4,a6] |
j |
-15803373870358324067917/49857094113536 |
j-invariant |
L |
0.46679796578255 |
L(r)(E,1)/r! |
Ω |
0.012966610160626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110864s1 124722ca1 13858p1 |
Quadratic twists by: -4 -3 13 |