Atkin-Lehner |
2+ 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39882g |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
174960 |
Modular degree for the optimal curve |
Δ |
-554022192807936 = -1 · 227 · 33 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 -3 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44367,3752613] |
[a1,a2,a3,a4,a6] |
j |
-33421147343264089/1917031809024 |
j-invariant |
L |
1.0235109342836 |
L(r)(E,1)/r! |
Ω |
0.51175546716713 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646bt1 39882ba1 |
Quadratic twists by: -3 17 |