Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424t |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3967389600768 = 210 · 37 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70059,-7136822] |
[a1,a2,a3,a4,a6] |
Generators |
[374:4356:1] |
Generators of the group modulo torsion |
j |
28756228/3 |
j-invariant |
L |
5.8589036009145 |
L(r)(E,1)/r! |
Ω |
0.29345147029226 |
Real period |
R |
2.4956867634192 |
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 |
8712y4 69696gl4 5808o4 144b4 |
Quadratic twists by: -4 8 -3 -11 |