Atkin-Lehner |
2- 3- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
9078i |
Isogeny class |
Conductor |
9078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-107174314242 = -1 · 2 · 34 · 174 · 892 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -4 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4812,129042] |
[a1,a2,a3,a4,a6] |
j |
-12322709457584833/107174314242 |
j-invariant |
L |
4.2523716858365 |
L(r)(E,1)/r! |
Ω |
1.0630929214591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72624n2 27234h2 |
Quadratic twists by: -4 -3 |