Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320bi |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
2714326640640000 = 214 · 310 · 54 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87665,9641775] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:4320:1] |
Generators of the group modulo torsion |
j |
4547654246155984/165669350625 |
j-invariant |
L |
9.2057981733693 |
L(r)(E,1)/r! |
Ω |
0.45108665829557 |
Real period |
R |
1.0204023998067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000497 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64320cd2 8040b2 |
Quadratic twists by: -4 8 |