Atkin-Lehner |
2- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800ej |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-27520000 = -1 · 210 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 2 5- 4 5 -3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,67,-163] |
[a1,a2,a3,a4,a6] |
j |
51200/43 |
j-invariant |
L |
6.9837882389007 |
L(r)(E,1)/r! |
Ω |
1.1639647078905 |
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 |
68800bz1 17200g1 68800dc1 |
Quadratic twists by: -4 8 5 |