Atkin-Lehner |
2- 3+ 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
58512j |
Isogeny class |
Conductor |
58512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
170880 |
Modular degree for the optimal curve |
Δ |
-68006242957104 = -1 · 24 · 320 · 23 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 4 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9549,-532008] |
[a1,a2,a3,a4,a6] |
Generators |
[15512080834836:209313866104398:66380929649] |
Generators of the group modulo torsion |
j |
-6018979848650752/4250390184819 |
j-invariant |
L |
7.8713837194325 |
L(r)(E,1)/r! |
Ω |
0.23418421678423 |
Real period |
R |
16.805965464967 |
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 |
14628b1 |
Quadratic twists by: -4 |