Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386ba |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
10063872 |
Modular degree for the optimal curve |
Δ |
-2.3356543291047E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -1 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5541964,73356576535] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:269005:1] |
Generators of the group modulo torsion |
j |
8128966878211509/1008623392129024 |
j-invariant |
L |
8.5149312343156 |
L(r)(E,1)/r! |
Ω |
0.062888695091857 |
Real period |
R |
0.70519192854644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64386e1 9198f1 |
Quadratic twists by: -3 -7 |