Atkin-Lehner |
2+ 3- 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24882s |
Isogeny class |
Conductor |
24882 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
1348129566046568448 = 214 · 36 · 116 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1024431,395076514] |
[a1,a2,a3,a4,a6] |
j |
118897093683423637179625/1348129566046568448 |
j-invariant |
L |
1.6317149767006 |
L(r)(E,1)/r! |
Ω |
0.2719524961168 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
74646bm1 |
Quadratic twists by: -3 |