Atkin-Lehner |
2+ 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
9752b |
Isogeny class |
Conductor |
9752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-2903697008 = -1 · 24 · 23 · 534 |
Discriminant |
Eigenvalues |
2+ -1 0 2 4 -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-228,2989] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:53:1] |
Generators of the group modulo torsion |
j |
-82283296000/181481063 |
j-invariant |
L |
3.7410542882853 |
L(r)(E,1)/r! |
Ω |
1.2684973417313 |
Real period |
R |
0.36865018999362 |
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 |
19504a1 78016e1 87768h1 |
Quadratic twists by: -4 8 -3 |