Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048cf |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
219793028914741248 = 217 · 310 · 734 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188364,-21939568] |
[a1,a2,a3,a4,a6] |
j |
7735350027746/2300257521 |
j-invariant |
L |
3.7507150860096 |
L(r)(E,1)/r! |
Ω |
0.2344196928792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048y4 10512j3 14016bp3 |
Quadratic twists by: -4 8 -3 |