Atkin-Lehner |
2- 3- 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478cg |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
136037773998 = 2 · 33 · 78 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -1 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1422,10422] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:1209:8] |
Generators of the group modulo torsion |
j |
55164193/23598 |
j-invariant |
L |
15.553787154273 |
L(r)(E,1)/r! |
Ω |
0.93587913850718 |
Real period |
R |
1.8466044381974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128478cc1 |
Quadratic twists by: -7 |