Atkin-Lehner |
2+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800bk |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-688000000000000000 = -1 · 219 · 515 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 6 5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9001633,-10398211137] |
[a1,a2,a3,a4,a6] |
j |
-19693718244927649/167968750 |
j-invariant |
L |
3.1377728621157 |
L(r)(E,1)/r! |
Ω |
0.043580178736268 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800cw3 2150a3 13760f3 |
Quadratic twists by: -4 8 5 |