Atkin-Lehner |
2+ 3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
27336c |
Isogeny class |
Conductor |
27336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
62982144 = 211 · 33 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 3 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-152,-564] |
[a1,a2,a3,a4,a6] |
j |
190887986/30753 |
j-invariant |
L |
1.3737495053258 |
L(r)(E,1)/r! |
Ω |
1.3737495053261 |
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 |
54672e1 82008s1 |
Quadratic twists by: -4 -3 |