Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450h |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
659254039800468750 = 2 · 39 · 57 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11- -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5109792,-4444382134] |
[a1,a2,a3,a4,a6] |
Generators |
[-10418:8259:8] [-1301:988:1] |
Generators of the group modulo torsion |
j |
223810587/10 |
j-invariant |
L |
7.4958744720972 |
L(r)(E,1)/r! |
Ω |
0.10041530448523 |
Real period |
R |
9.3310906521258 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450ea1 10890bh2 54450ec2 |
Quadratic twists by: -3 5 -11 |