Atkin-Lehner |
2+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89146a |
Isogeny class |
Conductor |
89146 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-22670210959492352 = -1 · 28 · 296 · 533 |
Discriminant |
Eigenvalues |
2+ -1 0 -4 0 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20691140,-36234987056] |
[a1,a2,a3,a4,a6] |
Generators |
[357649833831948562791354728:-60068703591825480096805034204:12417681864166062756103] |
Generators of the group modulo torsion |
j |
-1646982616152408625/38112512 |
j-invariant |
L |
3.0356841680378 |
L(r)(E,1)/r! |
Ω |
0.035393495069709 |
Real period |
R |
42.884775324659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106c2 |
Quadratic twists by: 29 |