Atkin-Lehner |
2- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
110864w |
Isogeny class |
Conductor |
110864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
-455904564916256768 = -1 · 220 · 139 · 41 |
Discriminant |
Eigenvalues |
2- -1 0 4 -4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62248,-33010576] |
[a1,a2,a3,a4,a6] |
j |
-614125/10496 |
j-invariant |
L |
0.50971982776364 |
L(r)(E,1)/r! |
Ω |
0.12743022564871 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13858g1 110864t1 |
Quadratic twists by: -4 13 |