Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775cr |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5512783974140625 = 3 · 57 · 77 · 134 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-690313,-220787008] |
[a1,a2,a3,a4,a6] |
j |
19790357598649/2998905 |
j-invariant |
L |
1.3250491094837 |
L(r)(E,1)/r! |
Ω |
0.16563113860745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9555g3 6825a4 |
Quadratic twists by: 5 -7 |