Atkin-Lehner |
2+ 3+ 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32430f |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
8.6143914144141E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6864752,6774447024] |
[a1,a2,a3,a4,a6] |
Generators |
[-1687:117281:1] |
Generators of the group modulo torsion |
j |
35776542537193494213655561/861439141441406250000 |
j-invariant |
L |
4.0710692056646 |
L(r)(E,1)/r! |
Ω |
0.15781988407153 |
Real period |
R |
0.42992778652016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290bd1 |
Quadratic twists by: -3 |