Atkin-Lehner |
3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
71487w |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
85680 |
Modular degree for the optimal curve |
Δ |
-75275811 = -1 · 36 · 133 · 47 |
Discriminant |
Eigenvalues |
2 3- -2 2 5 13- -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4251,106681] |
[a1,a2,a3,a4,a6] |
j |
-5304438784/47 |
j-invariant |
L |
3.4895987625213 |
L(r)(E,1)/r! |
Ω |
1.7447993811094 |
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 |
7943d1 71487u1 |
Quadratic twists by: -3 13 |