Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408bf |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
50577408 = 214 · 32 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-177,783] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:36:1] |
Generators of the group modulo torsion |
j |
109744/9 |
j-invariant |
L |
5.7581490753699 |
L(r)(E,1)/r! |
Ω |
1.9557887352963 |
Real period |
R |
1.4720784948425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9408cb2 588c2 28224cg2 9408o2 |
Quadratic twists by: -4 8 -3 -7 |