Atkin-Lehner |
2- 3- 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330bp |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
1.6779993728847E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1362893,580168757] |
[a1,a2,a3,a4,a6] |
Generators |
[-909:33124:1] |
Generators of the group modulo torsion |
j |
384044162249786995081/23017824045057600 |
j-invariant |
L |
7.3708090610913 |
L(r)(E,1)/r! |
Ω |
0.21598216071622 |
Real period |
R |
1.4219556059596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998189 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
22110i3 |
Quadratic twists by: -3 |