Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600cl |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.233384850152E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-742008,-179056512] |
[a1,a2,a3,a4,a6] |
Generators |
[-528:8112:1] |
Generators of the group modulo torsion |
j |
2823774927583684/770865531345 |
j-invariant |
L |
8.4843789062248 |
L(r)(E,1)/r! |
Ω |
0.16600092489926 |
Real period |
R |
1.0648006569082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999758 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200h4 10920e3 |
Quadratic twists by: -4 5 |