Atkin-Lehner |
2+ 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432a |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-31471093710471168 = -1 · 214 · 34 · 136 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,78447,-1179855] |
[a1,a2,a3,a4,a6] |
Generators |
[9642:343413:8] |
Generators of the group modulo torsion |
j |
3258571509326000/1920843121977 |
j-invariant |
L |
3.2576779493245 |
L(r)(E,1)/r! |
Ω |
0.21732657804379 |
Real period |
R |
7.494890819726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432cd4 2652f4 127296n4 |
Quadratic twists by: -4 8 -3 |