Atkin-Lehner |
2- 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432bw |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
134923267127181312 = 216 · 38 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -2 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-531713,148359969] |
[a1,a2,a3,a4,a6] |
Generators |
[315:3468:1] [455:648:1] |
Generators of the group modulo torsion |
j |
253674278705546500/2058765672717 |
j-invariant |
L |
7.6219188133002 |
L(r)(E,1)/r! |
Ω |
0.32982116785649 |
Real period |
R |
3.8515411562953 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432bd2 10608g2 127296cr2 |
Quadratic twists by: -4 8 -3 |