Atkin-Lehner |
3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
63291f |
Isogeny class |
Conductor |
63291 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6192 |
Modular degree for the optimal curve |
Δ |
-189873 = -1 · 32 · 172 · 73 |
Discriminant |
Eigenvalues |
-1 3+ -2 -1 -5 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11,20] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3:1] [0:4:1] |
Generators of the group modulo torsion |
j |
506447/657 |
j-invariant |
L |
3.9178236820602 |
L(r)(E,1)/r! |
Ω |
2.1450023611731 |
Real period |
R |
0.91324460825461 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63291n1 |
Quadratic twists by: 17 |