Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800a |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.4428040444512E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 13+ -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1182808,407161612] |
[a1,a2,a3,a4,a6] |
Generators |
[2277513:120218950:729] |
Generators of the group modulo torsion |
j |
5718957389087906/1075876263891 |
j-invariant |
L |
4.2828069053826 |
L(r)(E,1)/r! |
Ω |
0.19647658442406 |
Real period |
R |
10.899026248541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3432h2 |
Quadratic twists by: 5 |