Atkin-Lehner |
2+ 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64032w |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-117064839168 = -1 · 212 · 34 · 233 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -4 -5 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2093,39675] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:252:1] [-23:276:1] |
Generators of the group modulo torsion |
j |
-247673152000/28580283 |
j-invariant |
L |
11.042607049592 |
L(r)(E,1)/r! |
Ω |
1.0209273200973 |
Real period |
R |
0.45067716184147 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64032b1 128064cm1 |
Quadratic twists by: -4 8 |