Atkin-Lehner |
3+ 13- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27807d |
Isogeny class |
Conductor |
27807 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2016000 |
Modular degree for the optimal curve |
Δ |
6950966606014406859 = 37 · 136 · 23 · 315 |
Discriminant |
Eigenvalues |
-1 3+ -3 -1 5 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31649462,-68545733560] |
[a1,a2,a3,a4,a6] |
j |
3506087164904542855168283233/6950966606014406859 |
j-invariant |
L |
0.38190845536407 |
L(r)(E,1)/r! |
Ω |
0.063651409227347 |
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 |
83421t1 |
Quadratic twists by: -3 |