Atkin-Lehner |
2- 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64032bb |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-1221059521032192 = -1 · 212 · 312 · 23 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-680893,216034859] |
[a1,a2,a3,a4,a6] |
Generators |
[-907:9396:1] [485:-348:1] |
Generators of the group modulo torsion |
j |
-8523167239536832000/298110234627 |
j-invariant |
L |
11.242241442398 |
L(r)(E,1)/r! |
Ω |
0.45413430056953 |
Real period |
R |
0.34382393503392 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64032i1 128064a1 |
Quadratic twists by: -4 8 |