Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200cd |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
1053000000 = 26 · 34 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-358,-2212] |
[a1,a2,a3,a4,a6] |
j |
5088448/1053 |
j-invariant |
L |
4.4531730237701 |
L(r)(E,1)/r! |
Ω |
1.113293255943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31200h1 62400k2 93600bq1 1248a1 |
Quadratic twists by: -4 8 -3 5 |