Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6138h |
Isogeny class |
Conductor |
6138 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
645873001884 = 22 · 316 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6453,-194135] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:71:1] |
Generators of the group modulo torsion |
j |
40767965189713/885971196 |
j-invariant |
L |
2.8390126959258 |
L(r)(E,1)/r! |
Ω |
0.53337201493258 |
Real period |
R |
1.3306906888828 |
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 |
49104bk2 2046f2 67518bs2 |
Quadratic twists by: -4 -3 -11 |