Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408i |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
68854414196736 = 214 · 36 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49457,-4198095] |
[a1,a2,a3,a4,a6] |
j |
6940769488/35721 |
j-invariant |
L |
2.5619250119428 |
L(r)(E,1)/r! |
Ω |
0.32024062649285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9408cv2 1176e2 28224ce2 1344j2 |
Quadratic twists by: -4 8 -3 -7 |