Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408cm |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
Δ |
-588221108782272 = -1 · 26 · 313 · 78 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-178817,29068437] |
[a1,a2,a3,a4,a6] |
Generators |
[604:11907:1] |
Generators of the group modulo torsion |
j |
-1713910976512/1594323 |
j-invariant |
L |
5.8963069564185 |
L(r)(E,1)/r! |
Ω |
0.51315594852059 |
Real period |
R |
0.29462263526858 |
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 |
9408c2 2352j2 28224es2 9408cc2 |
Quadratic twists by: -4 8 -3 -7 |