Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502bw |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
914359322052 = 22 · 37 · 116 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3290,-55371] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:93:1] |
Generators of the group modulo torsion |
j |
3048625/708 |
j-invariant |
L |
11.531573613357 |
L(r)(E,1)/r! |
Ω |
0.64094638578956 |
Real period |
R |
2.2489349188909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999551181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42834d1 1062c1 |
Quadratic twists by: -3 -11 |