Atkin-Lehner |
3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6201d |
Isogeny class |
Conductor |
6201 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
502281 = 36 · 13 · 53 |
Discriminant |
Eigenvalues |
1 3- 2 2 -2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-126,-513] |
[a1,a2,a3,a4,a6] |
Generators |
[7338:117031:27] |
Generators of the group modulo torsion |
j |
304821217/689 |
j-invariant |
L |
5.5738139939756 |
L(r)(E,1)/r! |
Ω |
1.4246377703597 |
Real period |
R |
7.8248858902122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99216bi1 689a1 80613l1 |
Quadratic twists by: -4 -3 13 |