Atkin-Lehner |
2+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800z |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1100800 = -1 · 210 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 3 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80,-280] |
[a1,a2,a3,a4,a6] |
j |
-2211840/43 |
j-invariant |
L |
1.5945076265224 |
L(r)(E,1)/r! |
Ω |
0.79725380527371 |
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 |
68800ct1 4300a1 68800br1 |
Quadratic twists by: -4 8 5 |