Atkin-Lehner |
2+ 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10086a |
Isogeny class |
Conductor |
10086 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-59547744 = -1 · 25 · 33 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 0 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-178,916] |
[a1,a2,a3,a4,a6] |
Generators |
[3:19:1] |
Generators of the group modulo torsion |
j |
-9129329/864 |
j-invariant |
L |
2.2177911434304 |
L(r)(E,1)/r! |
Ω |
1.9294755772248 |
Real period |
R |
0.57471345312913 |
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 |
80688y1 30258n1 10086i1 |
Quadratic twists by: -4 -3 41 |