Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2352x |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-113739558411042816 = -1 · 227 · 3 · 710 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-557832,-161367564] |
[a1,a2,a3,a4,a6] |
j |
-16591834777/98304 |
j-invariant |
L |
1.5716735031726 |
L(r)(E,1)/r! |
Ω |
0.087315194620698 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
294e2 9408cg2 7056bz2 58800fv2 |
Quadratic twists by: -4 8 -3 5 |