Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408m |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
4 |
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] |
j |
1906624/729 |
j-invariant |
L |
0.75957783547381 |
L(r)(E,1)/r! |
Ω |
0.75957783547381 |
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 |
9408bh1 4704bc2 28224bt1 9408be1 |
Quadratic twists by: -4 8 -3 -7 |