Atkin-Lehner |
3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6201d |
Isogeny class |
Conductor |
6201 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-346071609 = -1 · 36 · 132 · 532 |
Discriminant |
Eigenvalues |
1 3- 2 2 -2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81,-918] |
[a1,a2,a3,a4,a6] |
Generators |
[1086:35232:1] |
Generators of the group modulo torsion |
j |
-81182737/474721 |
j-invariant |
L |
5.5738139939756 |
L(r)(E,1)/r! |
Ω |
0.71231888517987 |
Real period |
R |
3.9124429451061 |
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 |
99216bi2 689a2 80613l2 |
Quadratic twists by: -4 -3 13 |