Atkin-Lehner |
2+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
65600t |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-2149580800 = -1 · 221 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 5 -6 1 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140,-2320] |
[a1,a2,a3,a4,a6] |
j |
-46305/328 |
j-invariant |
L |
1.2308585864996 |
L(r)(E,1)/r! |
Ω |
0.61542929717749 |
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 |
65600by1 2050b1 65600bc1 |
Quadratic twists by: -4 8 5 |