Atkin-Lehner |
3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27753c |
Isogeny class |
Conductor |
27753 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-6743979 = -1 · 36 · 11 · 292 |
Discriminant |
Eigenvalues |
0 3+ 3 2 11- -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-19,-123] |
[a1,a2,a3,a4,a6] |
j |
-950272/8019 |
j-invariant |
L |
2.0001348040752 |
L(r)(E,1)/r! |
Ω |
1.0000674020375 |
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 |
83259e1 27753e1 |
Quadratic twists by: -3 29 |