Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24752v |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-3244294144 = -1 · 221 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 0 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5584,-158784] |
[a1,a2,a3,a4,a6] |
Generators |
[1062600:1335168:12167] |
Generators of the group modulo torsion |
j |
-4701947389777/792064 |
j-invariant |
L |
9.0503742934622 |
L(r)(E,1)/r! |
Ω |
0.27613555935387 |
Real period |
R |
8.193778369797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094h1 99008bt1 |
Quadratic twists by: -4 8 |