Atkin-Lehner |
2- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27664h |
Isogeny class |
Conductor |
27664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24480 |
Modular degree for the optimal curve |
Δ |
129827152 = 24 · 7 · 132 · 193 |
Discriminant |
Eigenvalues |
2- 0 0 7+ -4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16000,778983] |
[a1,a2,a3,a4,a6] |
j |
28311552000000000/8114197 |
j-invariant |
L |
0.742245345518 |
L(r)(E,1)/r! |
Ω |
1.4844906910359 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6916e1 110656bd1 |
Quadratic twists by: -4 8 |