Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320bg |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
46450153728000 = 211 · 36 · 53 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-816363,283904838] |
[a1,a2,a3,a4,a6] |
Generators |
[4514:13663:8] |
Generators of the group modulo torsion |
j |
40301032281655122/31112125 |
j-invariant |
L |
6.7161268441373 |
L(r)(E,1)/r! |
Ω |
0.53039166030992 |
Real period |
R |
6.331290013366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999281 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7480b3 |
Quadratic twists by: -3 |