Atkin-Lehner |
2+ 3- 5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
32430o |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
413952 |
Modular degree for the optimal curve |
Δ |
-53595716337008640 = -1 · 222 · 37 · 5 · 232 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,88427,-4643104] |
[a1,a2,a3,a4,a6] |
Generators |
[52:284:1] |
Generators of the group modulo torsion |
j |
76469006175196050359/53595716337008640 |
j-invariant |
L |
6.4077129389113 |
L(r)(E,1)/r! |
Ω |
0.20002003368753 |
Real period |
R |
2.2882396973586 |
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 |
97290x1 |
Quadratic twists by: -3 |