Atkin-Lehner |
3- 7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
89817o |
Isogeny class |
Conductor |
89817 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
2449440 |
Modular degree for the optimal curve |
Δ |
-40410493302490857 = -1 · 39 · 76 · 135 · 47 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 5 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9231748,-10797050839] |
[a1,a2,a3,a4,a6] |
j |
-739583643739785288625/343483525593 |
j-invariant |
L |
1.9487722469489 |
L(r)(E,1)/r! |
Ω |
0.043306048846914 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1833a1 |
Quadratic twists by: -7 |