Atkin-Lehner |
2+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
928a |
Isogeny class |
Conductor |
928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64 |
Modular degree for the optimal curve |
Δ |
-118784 = -1 · 212 · 29 |
Discriminant |
Eigenvalues |
2+ 1 -1 0 -5 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
-64/29 |
j-invariant |
L |
2.5431935124714 |
L(r)(E,1)/r! |
Ω |
1.4888902545041 |
Real period |
R |
0.42702836975019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
928b1 1856k1 8352g1 23200h1 |
Quadratic twists by: -4 8 -3 5 |