Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408s |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-116530348032 = -1 · 222 · 34 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,159,16353] |
[a1,a2,a3,a4,a6] |
j |
4913/1296 |
j-invariant |
L |
3.2534291980507 |
L(r)(E,1)/r! |
Ω |
0.81335729951268 |
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 |
9408de1 294g1 28224cv1 9408bm1 |
Quadratic twists by: -4 8 -3 -7 |