Atkin-Lehner |
2- 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24102bc |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
26724514518 = 2 · 310 · 133 · 103 |
Discriminant |
Eigenvalues |
2- 3- 4 1 3 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1463,20409] |
[a1,a2,a3,a4,a6] |
j |
474734543401/36659142 |
j-invariant |
L |
6.9697097473413 |
L(r)(E,1)/r! |
Ω |
1.1616182912236 |
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 |
8034a1 |
Quadratic twists by: -3 |