Atkin-Lehner |
3+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
68493b |
Isogeny class |
Conductor |
68493 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2659072 |
Modular degree for the optimal curve |
Δ |
1.4936322942606E+19 |
Discriminant |
Eigenvalues |
2 3+ 1 -3 -4 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-617400,-16845631] |
[a1,a2,a3,a4,a6] |
Generators |
[-1373593827521647346:3426594031285125979:1788392612154968] |
Generators of the group modulo torsion |
j |
219474464768/125951517 |
j-invariant |
L |
9.6711309237066 |
L(r)(E,1)/r! |
Ω |
0.18492987212127 |
Real period |
R |
26.148103637266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68493e1 |
Quadratic twists by: 17 |