Atkin-Lehner |
2+ 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46176i |
Isogeny class |
Conductor |
46176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
201973824 = 26 · 38 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -2 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-614,5616] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:90:1] [-14:108:1] |
Generators of the group modulo torsion |
j |
400641542848/3155841 |
j-invariant |
L |
9.4534333820314 |
L(r)(E,1)/r! |
Ω |
1.7935067591501 |
Real period |
R |
1.3177303812491 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46176c1 92352ca2 |
Quadratic twists by: -4 8 |