Atkin-Lehner |
3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6201a |
Isogeny class |
Conductor |
6201 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2976 |
Modular degree for the optimal curve |
Δ |
-13561587 = -1 · 39 · 13 · 53 |
Discriminant |
Eigenvalues |
2 3+ 4 -4 -1 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,27,-169] |
[a1,a2,a3,a4,a6] |
Generators |
[50:121:8] |
Generators of the group modulo torsion |
j |
110592/689 |
j-invariant |
L |
8.3697920216386 |
L(r)(E,1)/r! |
Ω |
1.1168423924005 |
Real period |
R |
3.747078405418 |
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 |
99216u1 6201b1 80613c1 |
Quadratic twists by: -4 -3 13 |