Atkin-Lehner |
2- 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79296bd |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
2255954706432 = 216 · 35 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18593,-966975] |
[a1,a2,a3,a4,a6] |
j |
10847147534500/34423137 |
j-invariant |
L |
0.81784891992705 |
L(r)(E,1)/r! |
Ω |
0.40892447127032 |
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 |
79296ba1 19824g1 |
Quadratic twists by: -4 8 |