Atkin-Lehner |
2+ 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
9198b |
Isogeny class |
Conductor |
9198 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-1.067419293645E+19 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 4 3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-196119,-160656611] |
[a1,a2,a3,a4,a6] |
j |
-1144343586227588209/14642239967695872 |
j-invariant |
L |
0.77856370935709 |
L(r)(E,1)/r! |
Ω |
0.097320463669636 |
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 |
73584be1 3066g1 64386v1 |
Quadratic twists by: -4 -3 -7 |