Atkin-Lehner |
2+ 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432b |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-14893632 = -1 · 26 · 34 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 4 4 0 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-182] |
[a1,a2,a3,a4,a6] |
Generators |
[187220:865809:8000] |
Generators of the group modulo torsion |
j |
-7529536/232713 |
j-invariant |
L |
7.8963439309826 |
L(r)(E,1)/r! |
Ω |
0.96443144206107 |
Real period |
R |
8.1875637672151 |
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 |
42432q1 21216o2 127296o1 |
Quadratic twists by: -4 8 -3 |