Atkin-Lehner |
2- 3- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
42804f |
Isogeny class |
Conductor |
42804 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-1705825008 = -1 · 24 · 37 · 29 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 3 1 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15,-1987] |
[a1,a2,a3,a4,a6] |
j |
32000/146247 |
j-invariant |
L |
2.7664685559094 |
L(r)(E,1)/r! |
Ω |
0.69161713897222 |
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 |
14268a1 |
Quadratic twists by: -3 |