Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408bh |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
1882737888192 = 26 · 36 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3544,-48490] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:162:1] |
Generators of the group modulo torsion |
j |
1906624/729 |
j-invariant |
L |
4.7883383495319 |
L(r)(E,1)/r! |
Ω |
0.63903287667448 |
Real period |
R |
2.4977005744735 |
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 |
9408m1 4704e2 28224bw1 9408j1 |
Quadratic twists by: -4 8 -3 -7 |