Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775cr |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3425102469140625 = 32 · 58 · 78 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47188,-2767633] |
[a1,a2,a3,a4,a6] |
j |
6321363049/1863225 |
j-invariant |
L |
1.3250491094837 |
L(r)(E,1)/r! |
Ω |
0.33126227721491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9555g2 6825a2 |
Quadratic twists by: 5 -7 |