Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320bg |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
68161500000000000 = 211 · 36 · 512 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-118683,-9480618] |
[a1,a2,a3,a4,a6] |
Generators |
[382:962:1] |
Generators of the group modulo torsion |
j |
123831683830962/45654296875 |
j-invariant |
L |
6.7161268441373 |
L(r)(E,1)/r! |
Ω |
0.26519583015496 |
Real period |
R |
6.331290013366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999713 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7480b4 |
Quadratic twists by: -3 |