Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408z |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
7 |
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] |
Generators |
[10:27:1] |
Generators of the group modulo torsion |
j |
-448000/2187 |
j-invariant |
L |
5.2082859750546 |
L(r)(E,1)/r! |
Ω |
0.98169287103678 |
Real period |
R |
0.75791612176365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9408f1 4704r1 28224bj1 9408a1 |
Quadratic twists by: -4 8 -3 -7 |