Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450br |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
5933286358204218750 = 2 · 311 · 57 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- -1 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-817317,259338591] |
[a1,a2,a3,a4,a6] |
Generators |
[333:4734:1] |
Generators of the group modulo torsion |
j |
24729001/2430 |
j-invariant |
L |
4.53261626318 |
L(r)(E,1)/r! |
Ω |
0.23268281020523 |
Real period |
R |
0.81165863003217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150cq1 10890bp1 54450fj1 |
Quadratic twists by: -3 5 -11 |