Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400be |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
34248420000000 = 28 · 310 · 57 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8175,40750] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:400:1] |
Generators of the group modulo torsion |
j |
20720464/11745 |
j-invariant |
L |
8.5340838942208 |
L(r)(E,1)/r! |
Ω |
0.56279745108348 |
Real period |
R |
1.8954607673238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999840547 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52200bz1 34800w1 20880ba1 |
Quadratic twists by: -4 -3 5 |