Atkin-Lehner |
2+ 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10086d |
Isogeny class |
Conductor |
10086 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-10516730789574 = -1 · 2 · 33 · 417 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 6 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2556,162702] |
[a1,a2,a3,a4,a6] |
Generators |
[-386:3555:8] |
Generators of the group modulo torsion |
j |
-389017/2214 |
j-invariant |
L |
3.4174257937607 |
L(r)(E,1)/r! |
Ω |
0.6239073445218 |
Real period |
R |
1.3693643069629 |
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 |
80688bg1 30258w1 246f1 |
Quadratic twists by: -4 -3 41 |