Atkin-Lehner |
2- 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
9752d |
Isogeny class |
Conductor |
9752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-312064 = -1 · 28 · 23 · 53 |
Discriminant |
Eigenvalues |
2- 2 -1 -4 0 3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4,-28] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
21296/1219 |
j-invariant |
L |
5.2723380949639 |
L(r)(E,1)/r! |
Ω |
1.4622553337353 |
Real period |
R |
0.90140517413872 |
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 |
19504e1 78016a1 87768e1 |
Quadratic twists by: -4 8 -3 |