Atkin-Lehner |
2- 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63920p |
Isogeny class |
Conductor |
63920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-8181760000 = -1 · 214 · 54 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 2 5- 0 0 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,4352] |
[a1,a2,a3,a4,a6] |
Generators |
[2:66:1] |
Generators of the group modulo torsion |
j |
-1/1997500 |
j-invariant |
L |
10.676101884923 |
L(r)(E,1)/r! |
Ω |
1.041200635977 |
Real period |
R |
2.5634112955583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7990h1 |
Quadratic twists by: -4 |