Atkin-Lehner |
2- 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432bw |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
1101890469888 = 214 · 34 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -2 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-530673,148972113] |
[a1,a2,a3,a4,a6] |
Generators |
[419:68:1] [-363:17136:1] |
Generators of the group modulo torsion |
j |
1008754689437602000/67254057 |
j-invariant |
L |
7.6219188133002 |
L(r)(E,1)/r! |
Ω |
0.65964233571299 |
Real period |
R |
0.96288528907381 |
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 |
42432bd1 10608g1 127296cr1 |
Quadratic twists by: -4 8 -3 |