Atkin-Lehner |
3- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
63291j |
Isogeny class |
Conductor |
63291 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
184832 |
Modular degree for the optimal curve |
Δ |
-416843912878083 = -1 · 319 · 173 · 73 |
Discriminant |
Eigenvalues |
1 3- -2 1 0 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14078,743819] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:572:1] [7:914:1] |
Generators of the group modulo torsion |
j |
62812224681751/84845087091 |
j-invariant |
L |
13.015507868242 |
L(r)(E,1)/r! |
Ω |
0.35825752639283 |
Real period |
R |
0.95605350821928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63291e1 |
Quadratic twists by: 17 |