Atkin-Lehner |
2- 3+ 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
75696f |
Isogeny class |
Conductor |
75696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-20210264955813888 = -1 · 217 · 32 · 192 · 834 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128160,-18895104] |
[a1,a2,a3,a4,a6] |
j |
-56836149647156641/4934146717728 |
j-invariant |
L |
0.50216212788837 |
L(r)(E,1)/r! |
Ω |
0.12554052661454 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9462c2 |
Quadratic twists by: -4 |