Atkin-Lehner |
2- 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63210ce |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-71391295584000 = -1 · 28 · 32 · 53 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1,-406519] |
[a1,a2,a3,a4,a6] |
j |
-1/606816000 |
j-invariant |
L |
4.5147110109571 |
L(r)(E,1)/r! |
Ω |
0.28216943816262 |
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 |
9030p1 |
Quadratic twists by: -7 |