Atkin-Lehner |
2+ 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792r |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
266305536 = 215 · 33 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 0 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,129] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:-24:1] [-5:28:1] |
Generators of the group modulo torsion |
j |
14172488/8127 |
j-invariant |
L |
8.4590380526436 |
L(r)(E,1)/r! |
Ω |
1.4909505085829 |
Real period |
R |
1.4183968555541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792bj1 28896u1 |
Quadratic twists by: -4 8 |