Atkin-Lehner |
2+ 3- 13- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128934n |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
1073106335808 = 26 · 36 · 133 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12402,532372] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:1030:1] |
Generators of the group modulo torsion |
j |
289395025998625/1472025152 |
j-invariant |
L |
4.5707125416698 |
L(r)(E,1)/r! |
Ω |
0.87762222775763 |
Real period |
R |
0.8680106017733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000335608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14326d1 |
Quadratic twists by: -3 |