Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408bg |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11565367296 = 215 · 3 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6337,-196225] |
[a1,a2,a3,a4,a6] |
Generators |
[178:2085:1] |
Generators of the group modulo torsion |
j |
7301384/3 |
j-invariant |
L |
5.7929172099759 |
L(r)(E,1)/r! |
Ω |
0.53509836790227 |
Real period |
R |
5.4129460651185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9408k3 4704f2 28224ci4 192a3 |
Quadratic twists by: -4 8 -3 -7 |