Atkin-Lehner |
2- 3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
73326bq |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
675 |
Product of Tamagawa factors cp |
deg |
21384000 |
Modular degree for the optimal curve |
Δ |
-9.392131921218E+24 |
Discriminant |
Eigenvalues |
2- 3- -3 2 11- 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,23595663,-140692107159] |
[a1,a2,a3,a4,a6] |
Generators |
[14772:-1859775:1] |
Generators of the group modulo torsion |
j |
6777644478650278607/43814988571516416 |
j-invariant |
L |
11.492472276469 |
L(r)(E,1)/r! |
Ω |
0.036376622924537 |
Real period |
R |
0.46804468044122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73326q1 |
Quadratic twists by: -11 |