Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
50820q |
Isogeny class |
Conductor |
50820 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
8.6481768627673E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-175352756,893581511700] |
[a1,a2,a3,a4,a6] |
Generators |
[72458:-1760913:8] |
Generators of the group modulo torsion |
j |
1314817350433665559504/190690249278375 |
j-invariant |
L |
7.9320725896828 |
L(r)(E,1)/r! |
Ω |
0.10397315587162 |
Real period |
R |
1.3623146493926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4620h2 |
Quadratic twists by: -11 |