Atkin-Lehner |
2- 3+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47658r |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
155504378805672 = 23 · 3 · 1310 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1017299,-395354263] |
[a1,a2,a3,a4,a6] |
j |
24121786971872953/32216808 |
j-invariant |
L |
1.8039258372365 |
L(r)(E,1)/r! |
Ω |
0.15032715310051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3666a3 |
Quadratic twists by: 13 |