Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64064bi |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
-21828911104 = -1 · 214 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 11+ 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,699,163] |
[a1,a2,a3,a4,a6] |
Generators |
[46:363:1] |
Generators of the group modulo torsion |
j |
2302045184/1332331 |
j-invariant |
L |
2.495838554818 |
L(r)(E,1)/r! |
Ω |
0.72031569551537 |
Real period |
R |
1.7324615932425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993498 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64064f1 16016e1 |
Quadratic twists by: -4 8 |