Atkin-Lehner |
2- 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24656c |
Isogeny class |
Conductor |
24656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144288 |
Modular degree for the optimal curve |
Δ |
-33288684638192 = -1 · 24 · 23 · 676 |
Discriminant |
Eigenvalues |
2- -3 4 -2 -2 1 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5987,212755] |
[a1,a2,a3,a4,a6] |
j |
1483308563118336/2080542789887 |
j-invariant |
L |
0.88677024616858 |
L(r)(E,1)/r! |
Ω |
0.44338512308426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6164c1 98624m1 |
Quadratic twists by: -4 8 |