Atkin-Lehner |
2+ 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
61206c |
Isogeny class |
Conductor |
61206 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16320 |
Modular degree for the optimal curve |
Δ |
31337472 = 210 · 3 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 4 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-111,-411] |
[a1,a2,a3,a4,a6] |
Generators |
[14:25:1] |
Generators of the group modulo torsion |
j |
15036577/3072 |
j-invariant |
L |
3.8004440762742 |
L(r)(E,1)/r! |
Ω |
1.4902122028273 |
Real period |
R |
1.2751352019161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61206n1 |
Quadratic twists by: 101 |