Atkin-Lehner |
2- 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64272be |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-11122655232 = -1 · 214 · 3 · 133 · 103 |
Discriminant |
Eigenvalues |
2- 3- 4 5 -1 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5616,160212] |
[a1,a2,a3,a4,a6] |
j |
-4783242408049/2715492 |
j-invariant |
L |
7.5738129893597 |
L(r)(E,1)/r! |
Ω |
1.2623021664874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8034f1 |
Quadratic twists by: -4 |