Atkin-Lehner |
7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6293f |
Isogeny class |
Conductor |
6293 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
5292413 = 7 · 293 · 31 |
Discriminant |
Eigenvalues |
0 -2 0 7- -3 -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-63,138] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:18:1] [6:3:1] |
Generators of the group modulo torsion |
j |
28094464000/5292413 |
j-invariant |
L |
3.4308817891903 |
L(r)(E,1)/r! |
Ω |
2.296451699947 |
Real period |
R |
4.4819777258165 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
100688u1 56637i1 44051j1 |
Quadratic twists by: -4 -3 -7 |