Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600du |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
814117023645696000 = 229 · 38 · 53 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55918248,-160963990092] |
[a1,a2,a3,a4,a6] |
Generators |
[-128608212:-488310:29791] |
Generators of the group modulo torsion |
j |
37767168555963845320349/1590072311808 |
j-invariant |
L |
8.2074973287173 |
L(r)(E,1)/r! |
Ω |
0.055209163394447 |
Real period |
R |
9.2913667135922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450f2 51600cd2 |
Quadratic twists by: -4 5 |