Atkin-Lehner |
2- 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128502bi |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
21854316635712 = 26 · 33 · 118 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53021,-4680475] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:124:1] |
Generators of the group modulo torsion |
j |
344619542331/456896 |
j-invariant |
L |
10.827081976373 |
L(r)(E,1)/r! |
Ω |
0.31464641815532 |
Real period |
R |
2.8675261648899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999403174 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502g1 11682a1 |
Quadratic twists by: -3 -11 |