Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408ch |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
277620998041239552 = 220 · 38 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-431265,106164801] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:10633:1] |
Generators of the group modulo torsion |
j |
838561807/26244 |
j-invariant |
L |
2.1764473942067 |
L(r)(E,1)/r! |
Ω |
0.30742016307852 |
Real period |
R |
3.5398579136965 |
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 |
9408bm2 2352y2 28224gl2 9408de2 |
Quadratic twists by: -4 8 -3 -7 |