Atkin-Lehner |
3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
5865d |
Isogeny class |
Conductor |
5865 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
551081998125 = 33 · 54 · 175 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 6 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9451,-355004] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:37:1] |
Generators of the group modulo torsion |
j |
93369052798418944/551081998125 |
j-invariant |
L |
3.3879856607231 |
L(r)(E,1)/r! |
Ω |
0.48437381770527 |
Real period |
R |
1.1657613523833 |
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 |
93840bd1 17595t1 29325j1 99705g1 |
Quadratic twists by: -4 -3 5 17 |