Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6498h |
Isogeny class |
Conductor |
6498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
-3899129065663138992 = -1 · 24 · 315 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 4 -3 -2 -7 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,284220,74924608] |
[a1,a2,a3,a4,a6] |
j |
205083359/314928 |
j-invariant |
L |
1.3491017777157 |
L(r)(E,1)/r! |
Ω |
0.16863772221446 |
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 |
51984ch1 2166g1 6498y1 |
Quadratic twists by: -4 -3 -19 |