Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768bf |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-423366293452750848 = -1 · 221 · 310 · 434 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175116,42137584] |
[a1,a2,a3,a4,a6] |
Generators |
[-379:7353:1] |
Generators of the group modulo torsion |
j |
-3107661785857/2215383048 |
j-invariant |
L |
5.8233526222355 |
L(r)(E,1)/r! |
Ω |
0.27473496106545 |
Real period |
R |
2.6495320251798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24768ce3 774b4 8256w4 |
Quadratic twists by: -4 8 -3 |