Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408d |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-61873298866176 = -1 · 233 · 3 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ -3 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45537,-3744159] |
[a1,a2,a3,a4,a6] |
Generators |
[329:4096:1] |
Generators of the group modulo torsion |
j |
-16591834777/98304 |
j-invariant |
L |
2.812812644391 |
L(r)(E,1)/r! |
Ω |
0.16335177146507 |
Real period |
R |
1.4349465059176 |
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 |
9408co2 294d2 28224be2 9408bk2 |
Quadratic twists by: -4 8 -3 -7 |