Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432bq |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
547915036151808 = 212 · 36 · 133 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 4 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22121,-571767] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:85:8] |
Generators of the group modulo torsion |
j |
292279034436544/133768319373 |
j-invariant |
L |
6.8871816665418 |
L(r)(E,1)/r! |
Ω |
0.40886275210052 |
Real period |
R |
4.2111818887653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432ch2 21216h1 127296ck2 |
Quadratic twists by: -4 8 -3 |