Atkin-Lehner |
11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
64009c |
Isogeny class |
Conductor |
64009 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3839669709179505289 = -1 · 1110 · 236 |
Discriminant |
Eigenvalues |
-1 2 -1 -2 11- -1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-161356,-97589018] |
[a1,a2,a3,a4,a6] |
Generators |
[1440408046152:-89085329980313:377933067] |
Generators of the group modulo torsion |
j |
-121 |
j-invariant |
L |
3.8458293964528 |
L(r)(E,1)/r! |
Ω |
0.10475038810342 |
Real period |
R |
18.357112876069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64009b1 121a2 |
Quadratic twists by: -11 -23 |