Atkin-Lehner |
3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4797c |
Isogeny class |
Conductor |
4797 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
1428470361279 = 313 · 13 · 413 |
Discriminant |
Eigenvalues |
-1 3- 1 2 -1 13- 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2867,-12828] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:126:1] |
Generators of the group modulo torsion |
j |
3573857582569/1959492951 |
j-invariant |
L |
2.7558027551211 |
L(r)(E,1)/r! |
Ω |
0.69727822520949 |
Real period |
R |
0.98805708234084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76752cf1 1599d1 119925o1 62361i1 |
Quadratic twists by: -4 -3 5 13 |