Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39882c |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6894720 |
Modular degree for the optimal curve |
Δ |
16277706210816 = 29 · 314 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1842748793,30446429164581] |
[a1,a2,a3,a4,a6] |
Generators |
[100687376:174696425:4096] |
Generators of the group modulo torsion |
j |
2394552018538560405274483344121/56324242944 |
j-invariant |
L |
2.7131487623511 |
L(r)(E,1)/r! |
Ω |
0.16575116636844 |
Real period |
R |
8.1844032286427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646cm1 39882bg1 |
Quadratic twists by: -3 17 |