Atkin-Lehner |
2- 3- 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310cf |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
Δ |
162653930352225000 = 23 · 36 · 55 · 136 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -2 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1182287,-494126801] |
[a1,a2,a3,a4,a6] |
Generators |
[-623:896:1] |
Generators of the group modulo torsion |
j |
250705915969015550889/223119246025000 |
j-invariant |
L |
11.916305042476 |
L(r)(E,1)/r! |
Ω |
0.1447911635937 |
Real period |
R |
0.45722192595987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5590a2 |
Quadratic twists by: -3 |