Atkin-Lehner |
2- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24752r |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-789506859791104 = -1 · 28 · 75 · 133 · 174 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ 0 13+ 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26341,2138409] |
[a1,a2,a3,a4,a6] |
j |
-7895815816413184/3084011171059 |
j-invariant |
L |
1.8922835994653 |
L(r)(E,1)/r! |
Ω |
0.47307089986638 |
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 |
6188d1 99008cg1 |
Quadratic twists by: -4 8 |