Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5814h |
Isogeny class |
Conductor |
5814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
6460272612 = 22 · 36 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 -2 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2169,-38151] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:27:1] |
Generators of the group modulo torsion |
j |
1548415333009/8861828 |
j-invariant |
L |
2.3276145117138 |
L(r)(E,1)/r! |
Ω |
0.6998016414432 |
Real period |
R |
1.6630530523718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46512bs1 646c1 98838n1 110466by1 |
Quadratic twists by: -4 -3 17 -19 |