Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432ci |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2081348665344 = -1 · 214 · 32 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4817,-147825] |
[a1,a2,a3,a4,a6] |
j |
-754612278352/127035441 |
j-invariant |
L |
2.2713055107612 |
L(r)(E,1)/r! |
Ω |
0.28391318886346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432e2 10608m2 127296dt2 |
Quadratic twists by: -4 8 -3 |