Atkin-Lehner |
2+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42944a |
Isogeny class |
Conductor |
42944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
5902178417901568 = 243 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 1 4 -2 11+ 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-893441,324728927] |
[a1,a2,a3,a4,a6] |
Generators |
[3845179:50462720:4913] |
Generators of the group modulo torsion |
j |
300872095888141441/22515023872 |
j-invariant |
L |
8.7964625962612 |
L(r)(E,1)/r! |
Ω |
0.40551754003283 |
Real period |
R |
5.4229852767564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42944v1 1342c1 |
Quadratic twists by: -4 8 |