Atkin-Lehner |
2+ 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47658o |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-1.1429749834921E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 5 1 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2282180,2099028674] |
[a1,a2,a3,a4,a6] |
j |
-123960395464381/107782078464 |
j-invariant |
L |
3.9559787770026 |
L(r)(E,1)/r! |
Ω |
0.14128495631946 |
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 |
47658bh1 |
Quadratic twists by: 13 |