Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320cd |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
416793600000000 = 216 · 35 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1390145,-630403743] |
[a1,a2,a3,a4,a6] |
j |
4533403753711490116/6359765625 |
j-invariant |
L |
1.1123066338322 |
L(r)(E,1)/r! |
Ω |
0.1390383290107 |
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 |
64320bi4 16080h3 |
Quadratic twists by: -4 8 |