Atkin-Lehner |
2- 3- 11+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63954w |
Isogeny class |
Conductor |
63954 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
262144 |
Modular degree for the optimal curve |
Δ |
63317131870212 = 22 · 310 · 112 · 17 · 194 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29075,1876655] |
[a1,a2,a3,a4,a6] |
j |
3728561839899625/86854776228 |
j-invariant |
L |
2.4823013848825 |
L(r)(E,1)/r! |
Ω |
0.62057534801706 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21318l1 |
Quadratic twists by: -3 |