Atkin-Lehner |
2- 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19824t |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-999545904 = -1 · 24 · 32 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -6 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63,1530] |
[a1,a2,a3,a4,a6] |
Generators |
[804:4275:64] |
Generators of the group modulo torsion |
j |
1701036032/62471619 |
j-invariant |
L |
6.3709836342632 |
L(r)(E,1)/r! |
Ω |
1.1802495544786 |
Real period |
R |
5.3979970677283 |
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 |
4956a1 79296bj1 59472bf1 |
Quadratic twists by: -4 8 -3 |