Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408r |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
121436356608 = 214 · 32 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -2 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7121,233073] |
[a1,a2,a3,a4,a6] |
j |
20720464/63 |
j-invariant |
L |
2.1015249640723 |
L(r)(E,1)/r! |
Ω |
1.0507624820361 |
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 |
9408dd2 588f2 28224cu2 1344i2 |
Quadratic twists by: -4 8 -3 -7 |