Atkin-Lehner |
11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
64009c |
Isogeny class |
Conductor |
64009 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
75504 |
Modular degree for the optimal curve |
Δ |
-17912342569 = -1 · 112 · 236 |
Discriminant |
Eigenvalues |
-1 2 -1 -2 11- -1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15881,763720] |
[a1,a2,a3,a4,a6] |
Generators |
[1938:-1247:27] |
Generators of the group modulo torsion |
j |
-24729001 |
j-invariant |
L |
3.8458293964528 |
L(r)(E,1)/r! |
Ω |
1.1522542691376 |
Real period |
R |
1.6688284433461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64009b2 121a1 |
Quadratic twists by: -11 -23 |