Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
32850y |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
558020689920000000 = 227 · 36 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-426942,-101074284] |
[a1,a2,a3,a4,a6] |
Generators |
[-141113:823019:343] |
Generators of the group modulo torsion |
j |
755585074684441/48989470720 |
j-invariant |
L |
3.1169822375668 |
L(r)(E,1)/r! |
Ω |
0.18752999056238 |
Real period |
R |
8.3106233520809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3650o1 6570t1 |
Quadratic twists by: -3 5 |