Atkin-Lehner |
2+ 3- 11- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24882q |
Isogeny class |
Conductor |
24882 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
-1573946884992768 = -1 · 28 · 3 · 114 · 136 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1417796,649667906] |
[a1,a2,a3,a4,a6] |
j |
-315184253425989830781625/1573946884992768 |
j-invariant |
L |
1.683652219476 |
L(r)(E,1)/r! |
Ω |
0.42091305486902 |
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 |
74646be1 |
Quadratic twists by: -3 |