Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744bd |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432000 |
Modular degree for the optimal curve |
Δ |
-1.0475363281025E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 3 5 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11799219,51654781298] |
[a1,a2,a3,a4,a6] |
Generators |
[169442:24401007:8] |
Generators of the group modulo torsion |
j |
-60840954898968260017/350817796780720128 |
j-invariant |
L |
10.843863358743 |
L(r)(E,1)/r! |
Ω |
0.075587847327635 |
Real period |
R |
8.9662754530788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16218e1 43248u1 |
Quadratic twists by: -4 -3 |