Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408g |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
79096283136 = 215 · 33 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-194657,33121185] |
[a1,a2,a3,a4,a6] |
Generators |
[319:1840:1] |
Generators of the group modulo torsion |
j |
24893507083693256/2413827 |
j-invariant |
L |
6.8845053120579 |
L(r)(E,1)/r! |
Ω |
0.83406208433337 |
Real period |
R |
4.1270940386116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998394 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408bj2 28704j2 |
Quadratic twists by: -4 8 |