Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27636j |
Isogeny class |
Conductor |
27636 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-331632 = -1 · 24 · 32 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 2 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2,-27] |
[a1,a2,a3,a4,a6] |
j |
-1792/423 |
j-invariant |
L |
2.7193261931846 |
L(r)(E,1)/r! |
Ω |
1.3596630965922 |
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 |
110544dp1 82908w1 27636o1 |
Quadratic twists by: -4 -3 -7 |