Atkin-Lehner |
3- 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24633j |
Isogeny class |
Conductor |
24633 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
13090986153 = 314 · 7 · 17 · 23 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-756,-5621] |
[a1,a2,a3,a4,a6] |
Generators |
[-11064:14017:512] |
Generators of the group modulo torsion |
j |
65597103937/17957457 |
j-invariant |
L |
6.9230039289135 |
L(r)(E,1)/r! |
Ω |
0.92915185691151 |
Real period |
R |
7.4508853180637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8211d1 |
Quadratic twists by: -3 |