Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40050p |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-29897164800 = -1 · 211 · 38 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -5 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-747,-11259] |
[a1,a2,a3,a4,a6] |
Generators |
[45:189:1] |
Generators of the group modulo torsion |
j |
-2531307865/1640448 |
j-invariant |
L |
2.6863653447013 |
L(r)(E,1)/r! |
Ω |
0.4436462093999 |
Real period |
R |
3.0275986673434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13350q1 40050bn1 |
Quadratic twists by: -3 5 |