Atkin-Lehner |
2+ 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432h |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9971859456 = -1 · 215 · 34 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,351,3969] |
[a1,a2,a3,a4,a6] |
Generators |
[0:63:1] [8:85:1] |
Generators of the group modulo torsion |
j |
145531576/304317 |
j-invariant |
L |
7.4113450520113 |
L(r)(E,1)/r! |
Ω |
0.89273507573151 |
Real period |
R |
4.1509207230025 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432bb2 21216m2 127296bm2 |
Quadratic twists by: -4 8 -3 |