Atkin-Lehner |
2- 3- 11+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63954x |
Isogeny class |
Conductor |
63954 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
532480 |
Modular degree for the optimal curve |
Δ |
26594636206178304 = 226 · 38 · 11 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77351,2665311] |
[a1,a2,a3,a4,a6] |
Generators |
[-253:2574:1] [-93:3054:1] |
Generators of the group modulo torsion |
j |
70208342162938153/36480982450176 |
j-invariant |
L |
12.750794856511 |
L(r)(E,1)/r! |
Ω |
0.33057784513821 |
Real period |
R |
1.4835089344381 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21318f1 |
Quadratic twists by: -3 |