Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1392h |
Isogeny class |
Conductor |
1392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-5701632 = -1 · 216 · 3 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8,112] |
[a1,a2,a3,a4,a6] |
j |
12167/1392 |
j-invariant |
L |
1.8444877750981 |
L(r)(E,1)/r! |
Ω |
1.8444877750981 |
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 |
174d1 5568bg1 4176bf1 34800cs1 |
Quadratic twists by: -4 8 -3 5 |