Atkin-Lehner |
2+ 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121752d |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
59171472 = 24 · 37 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -2 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255,1523] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:45:1] [7:9:1] |
Generators of the group modulo torsion |
j |
157216000/5073 |
j-invariant |
L |
11.267620346231 |
L(r)(E,1)/r! |
Ω |
1.9655928410006 |
Real period |
R |
0.71655355782584 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584n1 |
Quadratic twists by: -3 |