Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350dk |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
679214813062500 = 22 · 312 · 56 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-579155,-169495153] |
[a1,a2,a3,a4,a6] |
Generators |
[11119:1164040:1] |
Generators of the group modulo torsion |
j |
1886079023633377/59629284 |
j-invariant |
L |
10.244069545332 |
L(r)(E,1)/r! |
Ω |
0.17306200646769 |
Real period |
R |
7.3991323648562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998787 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21450bb2 2574j2 |
Quadratic twists by: -3 5 |