Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450ea |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
904326529218750 = 2 · 33 · 57 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-567755,164795997] |
[a1,a2,a3,a4,a6] |
Generators |
[2422:35085:8] |
Generators of the group modulo torsion |
j |
223810587/10 |
j-invariant |
L |
9.5101759616806 |
L(r)(E,1)/r! |
Ω |
0.46846353324401 |
Real period |
R |
1.6917318152272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450h2 10890b1 54450j1 |
Quadratic twists by: -3 5 -11 |