Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408f |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-6858432 = -1 · 26 · 37 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 2 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23,141] |
[a1,a2,a3,a4,a6] |
j |
-448000/2187 |
j-invariant |
L |
2.052656344192 |
L(r)(E,1)/r! |
Ω |
2.052656344192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9408z1 4704k1 28224bl1 9408u1 |
Quadratic twists by: -4 8 -3 -7 |