Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408be |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
16003008 = 26 · 36 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72,-162] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:6:1] |
Generators of the group modulo torsion |
j |
1906624/729 |
j-invariant |
L |
5.8779548723987 |
L(r)(E,1)/r! |
Ω |
1.6907220712749 |
Real period |
R |
1.1588647975253 |
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 |
9408j1 4704w2 28224cf1 9408m1 |
Quadratic twists by: -4 8 -3 -7 |