Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
10890ca |
Isogeny class |
Conductor |
10890 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
3810628800000 = 29 · 39 · 55 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- -5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46157,3827189] |
[a1,a2,a3,a4,a6] |
Generators |
[117:76:1] |
Generators of the group modulo torsion |
j |
123286270205329/43200000 |
j-invariant |
L |
7.2115240212414 |
L(r)(E,1)/r! |
Ω |
0.77055469657041 |
Real period |
R |
0.051993742324259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120fw1 3630h1 54450bx1 10890y1 |
Quadratic twists by: -4 -3 5 -11 |