Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35322d |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.3621513291011E+30 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-61448293244,-5862266748609840] |
[a1,a2,a3,a4,a6] |
Generators |
[5758656711641802430004848558208137913937845325108917052699955228869698907195923033252128767035237429091415:-1849641870105181956687101704757722312170450206924122225884846063959812770017729893947002637078287706946866881:17093475088118626188676841351980773883126417252829256380223659443872058679294299729872999318016080875] |
Generators of the group modulo torsion |
j |
43138515777213631193352207793/5652352909513890349056 |
j-invariant |
L |
3.0317556297913 |
L(r)(E,1)/r! |
Ω |
0.0095890484525415 |
Real period |
R |
158.08427941501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
105966bx2 1218h2 |
Quadratic twists by: -3 29 |