Atkin-Lehner |
2+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63206f |
Isogeny class |
Conductor |
63206 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-126914648496064 = -1 · 26 · 11 · 139 · 17 |
Discriminant |
Eigenvalues |
2+ 2 2 2 11- 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2701,-538195] |
[a1,a2,a3,a4,a6] |
Generators |
[6771060785171481615:-69656746657440439855:59993671678940817] |
Generators of the group modulo torsion |
j |
205379/11968 |
j-invariant |
L |
8.6592547232161 |
L(r)(E,1)/r! |
Ω |
0.2802071413145 |
Real period |
R |
30.903047947129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63206i1 |
Quadratic twists by: 13 |