Atkin-Lehner |
2- 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
63206n |
Isogeny class |
Conductor |
63206 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
589680 |
Modular degree for the optimal curve |
Δ |
-319903015532232704 = -1 · 221 · 11 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 1 2 -1 11- 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-112642,30849220] |
[a1,a2,a3,a4,a6] |
j |
-193766276353/392167424 |
j-invariant |
L |
5.7080675341333 |
L(r)(E,1)/r! |
Ω |
0.27181273967119 |
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 |
63206b1 |
Quadratic twists by: 13 |