Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6498g |
Isogeny class |
Conductor |
6498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
2799478132992 = 28 · 313 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 2 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8703,304141] |
[a1,a2,a3,a4,a6] |
j |
14580432307/559872 |
j-invariant |
L |
1.5988816163776 |
L(r)(E,1)/r! |
Ω |
0.79944080818882 |
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 |
51984cf1 2166f1 6498u1 |
Quadratic twists by: -4 -3 -19 |