Atkin-Lehner |
3+ 5+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
66975b |
Isogeny class |
Conductor |
66975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21729829453125 = 3 · 57 · 19 · 474 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39150,2956875] |
[a1,a2,a3,a4,a6] |
j |
424733306051809/1390709085 |
j-invariant |
L |
1.3644249672929 |
L(r)(E,1)/r! |
Ω |
0.68221248864447 |
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 |
13395d3 |
Quadratic twists by: 5 |