Atkin-Lehner |
3- 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
121605k |
Isogeny class |
Conductor |
121605 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-674350313820046875 = -1 · 34 · 56 · 116 · 673 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11- -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-363161,92920295] |
[a1,a2,a3,a4,a6] |
Generators |
[667:12160:1] [-341:13312:1] |
Generators of the group modulo torsion |
j |
-2989967081734144/380653171875 |
j-invariant |
L |
10.67205984761 |
L(r)(E,1)/r! |
Ω |
0.27834817022963 |
Real period |
R |
0.79876429604791 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999958997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1005b2 |
Quadratic twists by: -11 |