Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320bi |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
160 |
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] |
Generators |
[691:480:1] |
Generators of the group modulo torsion |
j |
4533403753711490116/6359765625 |
j-invariant |
L |
9.2057981733693 |
L(r)(E,1)/r! |
Ω |
0.45108665829557 |
Real period |
R |
0.51020119990334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320cd4 8040b4 |
Quadratic twists by: -4 8 |