Atkin-Lehner |
2+ 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432b |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
138498048 = 212 · 32 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 4 4 0 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-601,-5447] |
[a1,a2,a3,a4,a6] |
Generators |
[746:6885:8] |
Generators of the group modulo torsion |
j |
5870966464/33813 |
j-invariant |
L |
7.8963439309826 |
L(r)(E,1)/r! |
Ω |
0.96443144206107 |
Real period |
R |
4.0937818836075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432q2 21216o1 127296o2 |
Quadratic twists by: -4 8 -3 |