Atkin-Lehner |
3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27753b |
Isogeny class |
Conductor |
27753 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
153120 |
Modular degree for the optimal curve |
Δ |
-445719553948251 = -1 · 34 · 11 · 298 |
Discriminant |
Eigenvalues |
-2 3+ 1 -2 11+ 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,8130,-978496] |
[a1,a2,a3,a4,a6] |
j |
118784/891 |
j-invariant |
L |
0.52523484472496 |
L(r)(E,1)/r! |
Ω |
0.26261742236176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83259p1 27753g1 |
Quadratic twists by: -3 29 |